(4x-8)(x+6)=

Solution for (4x-8)(x+6)= equation:

Simplifying
(4x + -8)(x + 6) = 0

Reorder the terms:
(-8 + 4x)(x + 6) = 0

Reorder the terms:
(-8 + 4x)(6 + x) = 0

Multiply (-8 + 4x) * (6 + x)
(-8(6 + x) + 4x * (6 + x)) = 0
((6 * -8 + x * -8) + 4x * (6 + x)) = 0
((-48 + -8x) + 4x * (6 + x)) = 0
(-48 + -8x + (6 * 4x + x * 4x)) = 0
(-48 + -8x + (24x + 4x2)) = 0

Combine like terms: -8x + 24x = 16x
(-48 + 16x + 4x2) = 0

Solving
-48 + 16x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + 4x + x2) = 0

Factor a trinomial.
4((-6 + -1x)(2 + -1x)) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-6, 2}