(8x+4)(2x-6)=

Solution for (8x+4)(2x-6)= equation:

Simplifying
(8x + 4)(2x + -6) = 0

Reorder the terms:
(4 + 8x)(2x + -6) = 0

Reorder the terms:
(4 + 8x)(-6 + 2x) = 0

Multiply (4 + 8x) * (-6 + 2x)
(4(-6 + 2x) + 8x * (-6 + 2x)) = 0
((-6 * 4 + 2x * 4) + 8x * (-6 + 2x)) = 0
((-24 + 8x) + 8x * (-6 + 2x)) = 0
(-24 + 8x + (-6 * 8x + 2x * 8x)) = 0
(-24 + 8x + (-48x + 16x2)) = 0

Combine like terms: 8x + -48x = -40x
(-24 + -40x + 16x2) = 0

Solving
-24 + -40x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-3 + -5x + 2x2) = 0

Factor a trinomial.
8((-1 + -2x)(3 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve:

Simplifying
-1 + -2x = 0

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

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
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
Solution
x = {-0.5, 3}