(x+8)(x-2)=-24

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Solution for (x+8)(x-2)=-24 equation: 


Simplifying
(x + 8)(x + -2) = -24

Reorder the terms:
(8 + x)(x + -2) = -24

Reorder the terms:
(8 + x)(-2 + x) = -24

Multiply (8 + x) * (-2 + x)
(8(-2 + x) + x(-2 + x)) = -24
((-2 * 8 + x * 8) + x(-2 + x)) = -24
((-16 + 8x) + x(-2 + x)) = -24
(-16 + 8x + (-2 * x + x * x)) = -24
(-16 + 8x + (-2x + x2)) = -24

Combine like terms: 8x + -2x = 6x
(-16 + 6x + x2) = -24

Solving
-16 + 6x + x2 = -24

Solving for variable 'x'.

Reorder the terms:
-16 + 24 + 6x + x2 = -24 + 24

Combine like terms: -16 + 24 = 8
8 + 6x + x2 = -24 + 24

Combine like terms: -24 + 24 = 0
8 + 6x + x2 = 0

Factor a trinomial.
(4 + x)(2 + x) = 0


Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-4, -2}

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