(2x-1)2-x(4x+3)=2

Solution for (2x-1)2-x(4x+3)=2 equation:

Simplifying
(2x + -1) * 2 + -1x(4x + 3) = 2

Reorder the terms:
(-1 + 2x) * 2 + -1x(4x + 3) = 2

Reorder the terms for easier multiplication:
2(-1 + 2x) + -1x(4x + 3) = 2
(-1 * 2 + 2x * 2) + -1x(4x + 3) = 2
(-2 + 4x) + -1x(4x + 3) = 2

Reorder the terms:
-2 + 4x + -1x(3 + 4x) = 2
-2 + 4x + (3 * -1x + 4x * -1x) = 2
-2 + 4x + (-3x + -4x2) = 2

Combine like terms: 4x + -3x = 1x
-2 + 1x + -4x2 = 2

Solving
-2 + 1x + -4x2 = 2

Solving for variable 'x'.

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

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

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

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.25x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.25x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.25x + x2 = 0 + -1
-0.25x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.25x + x2 = -1

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 = -1 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -1 + 0.015625

Combine like terms: -1 + 0.015625 = -0.984375
0.015625 + -0.25x + x2 = -0.984375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -0.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.