(x-2)(x+8)=96

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Solution for (x-2)(x+8)=96 equation: 


Simplifying
(x + -2)(x + 8) = 96

Reorder the terms:
(-2 + x)(x + 8) = 96

Reorder the terms:
(-2 + x)(8 + x) = 96

Multiply (-2 + x) * (8 + x)
(-2(8 + x) + x(8 + x)) = 96
((8 * -2 + x * -2) + x(8 + x)) = 96
((-16 + -2x) + x(8 + x)) = 96
(-16 + -2x + (8 * x + x * x)) = 96
(-16 + -2x + (8x + x2)) = 96

Combine like terms: -2x + 8x = 6x
(-16 + 6x + x2) = 96

Solving
-16 + 6x + x2 = 96

Solving for variable 'x'.

Reorder the terms:
-16 + -96 + 6x + x2 = 96 + -96

Combine like terms: -16 + -96 = -112
-112 + 6x + x2 = 96 + -96

Combine like terms: 96 + -96 = 0
-112 + 6x + x2 = 0

Factor a trinomial.
(-14 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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 = {-14, 8}

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