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

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


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

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

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

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

Combine like terms: 2x + -4x = -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.
(-8 + -1x)(10 + -1x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-8, 10}

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