(x+8)(x-2)=119

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Solution for (x+8)(x-2)=119 equation: 


Simplifying
(x + 8)(x + -2) = 119

Reorder the terms:
(8 + x)(x + -2) = 119

Reorder the terms:
(8 + x)(-2 + x) = 119

Multiply (8 + x) * (-2 + x)
(8(-2 + x) + x(-2 + x)) = 119
((-2 * 8 + x * 8) + x(-2 + x)) = 119
((-16 + 8x) + x(-2 + x)) = 119
(-16 + 8x + (-2 * x + x * x)) = 119
(-16 + 8x + (-2x + x2)) = 119

Combine like terms: 8x + -2x = 6x
(-16 + 6x + x2) = 119

Solving
-16 + 6x + x2 = 119

Solving for variable 'x'.

Reorder the terms:
-16 + -119 + 6x + x2 = 119 + -119

Combine like terms: -16 + -119 = -135
-135 + 6x + x2 = 119 + -119

Combine like terms: 119 + -119 = 0
-135 + 6x + x2 = 0

Factor a trinomial.
(-15 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-15, 9}

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