(8x-6)(2x+6)=

Solution for (8x-6)(2x+6)= equation:

Simplifying
(8x + -6)(2x + 6) = 0

Reorder the terms:
(-6 + 8x)(2x + 6) = 0

Reorder the terms:
(-6 + 8x)(6 + 2x) = 0

Multiply (-6 + 8x) * (6 + 2x)
(-6(6 + 2x) + 8x * (6 + 2x)) = 0
((6 * -6 + 2x * -6) + 8x * (6 + 2x)) = 0
((-36 + -12x) + 8x * (6 + 2x)) = 0
(-36 + -12x + (6 * 8x + 2x * 8x)) = 0
(-36 + -12x + (48x + 16x2)) = 0

Combine like terms: -12x + 48x = 36x
(-36 + 36x + 16x2) = 0

Solving
-36 + 36x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-9 + 9x + 4x2) = 0

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

Ignore the factor 4.
Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
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 = {-3, 0.75}