(x+4)(x-2)=135

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Solution for (x+4)(x-2)=135 equation: 


Simplifying
(x + 4)(x + -2) = 135

Reorder the terms:
(4 + x)(x + -2) = 135

Reorder the terms:
(4 + x)(-2 + x) = 135

Multiply (4 + x) * (-2 + x)
(4(-2 + x) + x(-2 + x)) = 135
((-2 * 4 + x * 4) + x(-2 + x)) = 135
((-8 + 4x) + x(-2 + x)) = 135
(-8 + 4x + (-2 * x + x * x)) = 135
(-8 + 4x + (-2x + x2)) = 135

Combine like terms: 4x + -2x = 2x
(-8 + 2x + x2) = 135

Solving
-8 + 2x + x2 = 135

Solving for variable 'x'.

Reorder the terms:
-8 + -135 + 2x + x2 = 135 + -135

Combine like terms: -8 + -135 = -143
-143 + 2x + x2 = 135 + -135

Combine like terms: 135 + -135 = 0
-143 + 2x + x2 = 0

Factor a trinomial.
(-13 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-13, 11}

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