(x+8)(x-5)=-12

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Solution for (x+8)(x-5)=-12 equation: 


Simplifying
(x + 8)(x + -5) = -12

Reorder the terms:
(8 + x)(x + -5) = -12

Reorder the terms:
(8 + x)(-5 + x) = -12

Multiply (8 + x) * (-5 + x)
(8(-5 + x) + x(-5 + x)) = -12
((-5 * 8 + x * 8) + x(-5 + x)) = -12
((-40 + 8x) + x(-5 + x)) = -12
(-40 + 8x + (-5 * x + x * x)) = -12
(-40 + 8x + (-5x + x2)) = -12

Combine like terms: 8x + -5x = 3x
(-40 + 3x + x2) = -12

Solving
-40 + 3x + x2 = -12

Solving for variable 'x'.

Reorder the terms:
-40 + 12 + 3x + x2 = -12 + 12

Combine like terms: -40 + 12 = -28
-28 + 3x + x2 = -12 + 12

Combine like terms: -12 + 12 = 0
-28 + 3x + x2 = 0

Factor a trinomial.
(-7 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-7, 4}

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