Solve the Quadratic Equation: -x² - 7x - 12 = 0

Solve for x.

−x2−7x−12=0 -x^2-7x-12=0

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Multiply the entire exercise by minus to make it positive
00:15 Use trinomial to find the solution
00:19 Find 2 numbers whose product equals value C
00:23 And their sum equals value B
00:35 These are the matching numbers
00:45 Substitute these numbers in the trinomial
00:50 Find what zeros each factor
00:54 Isolate the unknown, this is one solution, now let's find the second
01:02 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve for x.

−x2−7x−12=0 -x^2-7x-12=0

2

Step-by-step solution

First, factor using trinomials and remember that there might be more than one solution for the value of x x :

−x2−7x−12=0 -x^2-7x-12=0

Divide by -1:

x2+7x+12=0 x^2+7x+12=0

(x+3)(x+4)=0 (x+3)(x+4)=0

Therefore:

x+4=0 x+4=0

x=−4 x=-4

Or:

x+3=0 x+3=0

x=−3 x=-3

3

Final Answer

x=−3,x=−4 x=-3,x=-4

Practice Quiz

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Find the value of the parameter x.

\( 2x^2-7x+5=0 \)

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