x*x+1=(2*x)(2*x)

Solution for x*x+1=(2*x)(2*x) equation:

Simplifying
x * x + 1 = (2x)(2x)

Multiply x * x
x2 + 1 = (2x)(2x)

Reorder the terms:
1 + x2 = (2x)(2x)

Remove parenthesis around (2x)
1 + x2 = 2x(2x)

Remove parenthesis around (2x)
1 + x2 = 2x * 2x

Reorder the terms for easier multiplication:
1 + x2 = 2 * 2x * x

Multiply 2 * 2
1 + x2 = 4x * x

Multiply x * x
1 + x2 = 4x2

Solving
1 + x2 = 4x2

Solving for variable 'x'.

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

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

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

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

Add '-1' to each side of the equation.
1 + -1 + -3x2 = 0 + -1

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

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

Divide each side by '-3'.
x2 = 0.3333333333

Simplifying
x2 = 0.3333333333

Take the square root of each side:
x = {-0.577350269, 0.577350269}