(4x^2-4x+1)-(4-4x+x^2)=

Solution for (4x^2-4x+1)-(4-4x+x^2)= equation:

Simplifying
(4x2 + -4x + 1) + -1(4 + -4x + x2) = 0

Reorder the terms:
(1 + -4x + 4x2) + -1(4 + -4x + x2) = 0

Remove parenthesis around (1 + -4x + 4x2)
1 + -4x + 4x2 + -1(4 + -4x + x2) = 0
1 + -4x + 4x2 + (4 * -1 + -4x * -1 + x2 * -1) = 0
1 + -4x + 4x2 + (-4 + 4x + -1x2) = 0

Reorder the terms:
1 + -4 + -4x + 4x + 4x2 + -1x2 = 0

Combine like terms: 1 + -4 = -3
-3 + -4x + 4x + 4x2 + -1x2 = 0

Combine like terms: -4x + 4x = 0
-3 + 0 + 4x2 + -1x2 = 0
-3 + 4x2 + -1x2 = 0

Combine like terms: 4x2 + -1x2 = 3x2
-3 + 3x2 = 0

Solving
-3 + 3x2 = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 3x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 3x2 = 0 + 3
3x2 = 0 + 3

Combine like terms: 0 + 3 = 3
3x2 = 3

Divide each side by '3'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}