Evaluate the Expression 5x-6 When x=0: Step-by-Step Solution

Q: Why does 5 times 0 equal 0?

Any number multiplied by zero equals zero. This is a fundamental math rule! So $ 5 \times 0 = 0 $, just like $ 100 \times 0 = 0 $.

Q: What's the difference between substituting and solving?

Substituting means replacing a variable with a known value. Solving means finding an unknown value. Here, we substitute x = 0 because it's given to us!

Q: Do I need to show the multiplication step?

Yes! Writing $ 5(0) - 6 $ first shows you're substituting correctly. Then simplify: $ 0 - 6 = -6 $. Always show your work step by step.

Q: What if x had a different value like x = 2?

The process stays the same! You'd substitute: $ 5(2) - 6 = 10 - 6 = 4 $. Always replace every x with the given value.

Q: Why is the answer negative?

Because $ 0 - 6 = -6 $! When you subtract a positive number from zero (or a smaller number), you get a negative result. This is completely normal in algebra.

Variable Substitution with Zero Values

Solve the algebraic expression $5x-6$ given that $x=0$ .

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Set up and solve

00:03 Set appropriate values according to the given data and solve

00:08 Any number multiplied by 0 always equals 0

00:13 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the algebraic expression $5x-6$ given that $x=0$ .

Step-by-step solution

Usually we do not know the value of the unknown variable and need to work it out.

However, in this case we know its value and so the first thing we will do is substitute it into the expression—that is, replace each $x$ with the value 0.

5*0-6=
0-6=-6

Therefore, the result is -6.

Final Answer

$-6$

Key Points to Remember

Essential concepts to master this topic

Substitution Rule: Replace every x with the given value directly
Technique: $5(0) - 6 = 0 - 6 = -6$
Check: Verify by substituting back: when x=0, expression equals -6 ✓

Common Mistakes

Avoid these frequent errors

Confusing substitution with solving for x
Don't try to solve 5x - 6 = 0 to find x = 6/5! The problem gives you x = 0, so you substitute that value. Always read carefully: when x is given, substitute; when asked to find x, solve the equation.

Practice Quiz

Test your knowledge with interactive questions

What will be the result of this algebraic expression:

$$ 5x-6 $$

if we place

$$ x=8 $$

FAQ

Everything you need to know about this question

Why does 5 times 0 equal 0?

Any number multiplied by zero equals zero. This is a fundamental math rule! So $5 \times 0 = 0$ , just like $100 \times 0 = 0$ .

What's the difference between substituting and solving?

Substituting means replacing a variable with a known value. Solving means finding an unknown value. Here, we substitute x = 0 because it's given to us!

Do I need to show the multiplication step?

Yes! Writing $5(0) - 6$ first shows you're substituting correctly. Then simplify: $0 - 6 = -6$ . Always show your work step by step.

What if x had a different value like x = 2?

The process stays the same! You'd substitute: $5(2) - 6 = 10 - 6 = 4$ . Always replace every x with the given value.

Why is the answer negative?

Because $0 - 6 = -6$ ! When you subtract a positive number from zero (or a smaller number), you get a negative result. This is completely normal in algebra.

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