(x+10)(x-6)=36

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Solution for (x+10)(x-6)=36 equation: 


Simplifying
(x + 10)(x + -6) = 36

Reorder the terms:
(10 + x)(x + -6) = 36

Reorder the terms:
(10 + x)(-6 + x) = 36

Multiply (10 + x) * (-6 + x)
(10(-6 + x) + x(-6 + x)) = 36
((-6 * 10 + x * 10) + x(-6 + x)) = 36
((-60 + 10x) + x(-6 + x)) = 36
(-60 + 10x + (-6 * x + x * x)) = 36
(-60 + 10x + (-6x + x2)) = 36

Combine like terms: 10x + -6x = 4x
(-60 + 4x + x2) = 36

Solving
-60 + 4x + x2 = 36

Solving for variable 'x'.

Reorder the terms:
-60 + -36 + 4x + x2 = 36 + -36

Combine like terms: -60 + -36 = -96
-96 + 4x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-96 + 4x + x2 = 0

Factor a trinomial.
(-12 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-12, 8}

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