(x+8)(x-6)=-24

Solution for (x+8)(x-6)=-24 equation:

Simplifying
(x + 8)(x + -6) = -24

Reorder the terms:
(8 + x)(x + -6) = -24

Reorder the terms:
(8 + x)(-6 + x) = -24

Multiply (8 + x) * (-6 + x)
(8(-6 + x) + x(-6 + x)) = -24
((-6 * 8 + x * 8) + x(-6 + x)) = -24
((-48 + 8x) + x(-6 + x)) = -24
(-48 + 8x + (-6 * x + x * x)) = -24
(-48 + 8x + (-6x + x2)) = -24

Combine like terms: 8x + -6x = 2x
(-48 + 2x + x2) = -24

Solving
-48 + 2x + x2 = -24

Solving for variable 'x'.

Reorder the terms:
-48 + 24 + 2x + x2 = -24 + 24

Combine like terms: -48 + 24 = -24
-24 + 2x + x2 = -24 + 24

Combine like terms: -24 + 24 = 0
-24 + 2x + x2 = 0

Factor a trinomial.
(-6 + -1x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
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 = {-6, 4}