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

Solution for (4x+4)(8x-6)=0 equation:

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

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

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

Multiply (4 + 4x) * (-6 + 8x)
(4(-6 + 8x) + 4x * (-6 + 8x)) = 0
((-6 * 4 + 8x * 4) + 4x * (-6 + 8x)) = 0
((-24 + 32x) + 4x * (-6 + 8x)) = 0
(-24 + 32x + (-6 * 4x + 8x * 4x)) = 0
(-24 + 32x + (-24x + 32x2)) = 0

Combine like terms: 32x + -24x = 8x
(-24 + 8x + 32x2) = 0

Solving
-24 + 8x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-3 + x + 4x2) = 0

Factor a trinomial.
8((-1 + -1x)(3 + -4x)) = 0

Ignore the factor 8.
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 '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-1, 0.75}