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

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

Simplifying
(1 + -2x) * 2 + -1(1 + 4x)(1 + -4x) = 0

Reorder the terms for easier multiplication:
2(1 + -2x) + -1(1 + 4x)(1 + -4x) = 0
(1 * 2 + -2x * 2) + -1(1 + 4x)(1 + -4x) = 0
(2 + -4x) + -1(1 + 4x)(1 + -4x) = 0

Multiply (1 + 4x) * (1 + -4x)
2 + -4x + -1(1(1 + -4x) + 4x * (1 + -4x)) = 0
2 + -4x + -1((1 * 1 + -4x * 1) + 4x * (1 + -4x)) = 0
2 + -4x + -1((1 + -4x) + 4x * (1 + -4x)) = 0
2 + -4x + -1(1 + -4x + (1 * 4x + -4x * 4x)) = 0
2 + -4x + -1(1 + -4x + (4x + -16x2)) = 0

Combine like terms: -4x + 4x = 0
2 + -4x + -1(1 + 0 + -16x2) = 0
2 + -4x + -1(1 + -16x2) = 0
2 + -4x + (1 * -1 + -16x2 * -1) = 0
2 + -4x + (-1 + 16x2) = 0

Reorder the terms:
2 + -1 + -4x + 16x2 = 0

Combine like terms: 2 + -1 = 1
1 + -4x + 16x2 = 0

Solving
1 + -4x + 16x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
16 the coefficient of the squared term: 

Divide each side by '16'.
0.0625 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-0.0625' to each side of the equation.
0.0625 + -0.25x + -0.0625 + x2 = 0 + -0.0625

Reorder the terms:
0.0625 + -0.0625 + -0.25x + x2 = 0 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
0.0000 + -0.25x + x2 = 0 + -0.0625
-0.25x + x2 = 0 + -0.0625

Combine like terms: 0 + -0.0625 = -0.0625
-0.25x + x2 = -0.0625

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -0.0625 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -0.0625 + 0.015625

Combine like terms: -0.0625 + 0.015625 = -0.046875
0.015625 + -0.25x + x2 = -0.046875

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -0.046875

Can't calculate square root of the right side.

The solution to this equation could not be determined.