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

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

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

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

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

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

Combine like terms: 8x + 48x = 56x
2(24 + 56x + 16x2) = 0
(24 * 2 + 56x * 2 + 16x2 * 2) = 0
(48 + 112x + 32x2) = 0

Solving
48 + 112x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16'.
16(3 + 7x + 2x2) = 0

Factor a trinomial.
16((3 + x)(1 + 2x)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

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

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

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

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