(4x+4)(4x-24)=

Solution for (4x+4)(4x-24)= equation:

Simplifying
(4x + 4)(4x + -24) = 0

Reorder the terms:
(4 + 4x)(4x + -24) = 0

Reorder the terms:
(4 + 4x)(-24 + 4x) = 0

Multiply (4 + 4x) * (-24 + 4x)
(4(-24 + 4x) + 4x * (-24 + 4x)) = 0
((-24 * 4 + 4x * 4) + 4x * (-24 + 4x)) = 0
((-96 + 16x) + 4x * (-24 + 4x)) = 0
(-96 + 16x + (-24 * 4x + 4x * 4x)) = 0
(-96 + 16x + (-96x + 16x2)) = 0

Combine like terms: 16x + -96x = -80x
(-96 + -80x + 16x2) = 0

Solving
-96 + -80x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16'.
16(-6 + -5x + x2) = 0

Factor a trinomial.
16((-1 + -1x)(6 + -1x)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1
Subproblem 2
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
Solution
x = {-1, 6}