4=2(4+4x+4x^2)-4

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

Simplifying
4 = 2(4 + 4x + 4x2) + -4
4 = (4 * 2 + 4x * 2 + 4x2 * 2) + -4
4 = (8 + 8x + 8x2) + -4

Reorder the terms:
4 = 8 + -4 + 8x + 8x2

Combine like terms: 8 + -4 = 4
4 = 4 + 8x + 8x2

Add '-4' to each side of the equation.
4 + -4 = 4 + 8x + -4 + 8x2

Combine like terms: 4 + -4 = 0
0 = 4 + 8x + -4 + 8x2

Reorder the terms:
0 = 4 + -4 + 8x + 8x2

Combine like terms: 4 + -4 = 0
0 = 0 + 8x + 8x2
0 = 8x + 8x2

Solving
0 = 8x + 8x2

Solving for variable 'x'.
Remove the zero:
-8x + -8x2 = 8x + 8x2 + -8x + -8x2

Reorder the terms:
-8x + -8x2 = 8x + -8x + 8x2 + -8x2

Combine like terms: 8x + -8x = 0
-8x + -8x2 = 0 + 8x2 + -8x2
-8x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-8x + -8x2 = 0

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

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

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {0, -1}