(x+8)(x-2)=144

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Solution for (x+8)(x-2)=144 equation: 


Simplifying
(x + 8)(x + -2) = 144

Reorder the terms:
(8 + x)(x + -2) = 144

Reorder the terms:
(8 + x)(-2 + x) = 144

Multiply (8 + x) * (-2 + x)
(8(-2 + x) + x(-2 + x)) = 144
((-2 * 8 + x * 8) + x(-2 + x)) = 144
((-16 + 8x) + x(-2 + x)) = 144
(-16 + 8x + (-2 * x + x * x)) = 144
(-16 + 8x + (-2x + x2)) = 144

Combine like terms: 8x + -2x = 6x
(-16 + 6x + x2) = 144

Solving
-16 + 6x + x2 = 144

Solving for variable 'x'.

Reorder the terms:
-16 + -144 + 6x + x2 = 144 + -144

Combine like terms: -16 + -144 = -160
-160 + 6x + x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-160 + 6x + x2 = 0

Factor a trinomial.
(-16 + -1x)(10 + -1x) = 0


Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

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 = {-16, 10}

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