(8x+6)(8x+6)=

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

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

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

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

Multiply (6 + 8x) * (6 + 8x)
(6(6 + 8x) + 8x * (6 + 8x)) = 0
((6 * 6 + 8x * 6) + 8x * (6 + 8x)) = 0
((36 + 48x) + 8x * (6 + 8x)) = 0
(36 + 48x + (6 * 8x + 8x * 8x)) = 0
(36 + 48x + (48x + 64x2)) = 0

Combine like terms: 48x + 48x = 96x
(36 + 96x + 64x2) = 0

Solving
36 + 96x + 64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + 24x + 16x2) = 0

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

Ignore the factor 4.
Subproblem 1
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
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 = {-0.75, -0.75}