Solve the Quadratic Equation: x² - 36 = 6x - 36

Question

Solve the following equation:

$x^2-36=6x-36$

00:00 Find X

00:03 Factor 36 into 6 squared

00:10 Factor 36 into factors 6 and 6

00:18 Take out the common factor from parentheses

00:28 Use the shortened multiplication formulas

00:40 Use the shortened multiplication formulas and build a trinomial

00:45 Divide by the common factor

01:00 Reduce what is possible

01:03 Isolate X

01:16 This is the solution we got

01:20 Check if we divided by 0

01:25 For division by 0, X must equal 6

01:28 Substitute in our equation and solve

01:34 It works out, so this is also a solution to the question

01:40 And this is the solution to the question

To solve the equation $x^2 - 36 = 6x - 36$ , follow these steps:

Simplify the equation by subtracting 6x and 36 from both sides to get: $x^2 - 6x = 0$ .
Notice that the equation can be factored as it has a common factor: $x(x - 6) = 0$ .
According to the zero product property, set each factor equal to zero: $x = 0$ or $x - 6 = 0$ .
Solve each resulting equation: $x = 0$ and $x = 6$ .

Therefore, the solutions to the quadratic equation $x^2 - 36 = 6x - 36$ are $x = 0$ or $x = 6$ .

$0~or~6$