(8x+2)(8x+2)=

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

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

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

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

Multiply (2 + 8x) * (2 + 8x)
(2(2 + 8x) + 8x * (2 + 8x)) = 0
((2 * 2 + 8x * 2) + 8x * (2 + 8x)) = 0
((4 + 16x) + 8x * (2 + 8x)) = 0
(4 + 16x + (2 * 8x + 8x * 8x)) = 0
(4 + 16x + (16x + 64x2)) = 0

Combine like terms: 16x + 16x = 32x
(4 + 32x + 64x2) = 0

Solving
4 + 32x + 64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + 8x + 16x2) = 0

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

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

Simplifying
1 + 4x = 0

Solving
1 + 4x = 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 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 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 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {-0.25, -0.25}