(x+4)*(x-2)=72

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Solution for (x+4)*(x-2)=72 equation: 


Simplifying
(x + 4)(x + -2) = 72

Reorder the terms:
(4 + x)(x + -2) = 72

Reorder the terms:
(4 + x)(-2 + x) = 72

Multiply (4 + x) * (-2 + x)
(4(-2 + x) + x(-2 + x)) = 72
((-2 * 4 + x * 4) + x(-2 + x)) = 72
((-8 + 4x) + x(-2 + x)) = 72
(-8 + 4x + (-2 * x + x * x)) = 72
(-8 + 4x + (-2x + x2)) = 72

Combine like terms: 4x + -2x = 2x
(-8 + 2x + x2) = 72

Solving
-8 + 2x + x2 = 72

Solving for variable 'x'.

Reorder the terms:
-8 + -72 + 2x + x2 = 72 + -72

Combine like terms: -8 + -72 = -80
-80 + 2x + x2 = 72 + -72

Combine like terms: 72 + -72 = 0
-80 + 2x + x2 = 0

Factor a trinomial.
(-10 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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 = {-10, 8}

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