(x+6)(x-6)=5x

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Solution for (x+6)(x-6)=5x equation:


Simplifying
(x + 6)(x + -6) = 5x

Reorder the terms:
(6 + x)(x + -6) = 5x

Reorder the terms:
(6 + x)(-6 + x) = 5x

Multiply (6 + x) * (-6 + x)
(6(-6 + x) + x(-6 + x)) = 5x
((-6 * 6 + x * 6) + x(-6 + x)) = 5x
((-36 + 6x) + x(-6 + x)) = 5x
(-36 + 6x + (-6 * x + x * x)) = 5x
(-36 + 6x + (-6x + x2)) = 5x

Combine like terms: 6x + -6x = 0
(-36 + 0 + x2) = 5x
(-36 + x2) = 5x

Solving
-36 + x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-36 + -5x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-36 + -5x + x2 = 0

Factor a trinomial.
(-4 + -1x)(9 + -1x) = 0

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-4, 9}

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