2x*2-(x-1)(2x-1)=359

Solution for 2x*2-(x-1)(2x-1)=359 equation:

Simplifying
2x * 2 + -1(x + -1)(2x + -1) = 359

Reorder the terms for easier multiplication:
2 * 2x + -1(x + -1)(2x + -1) = 359

Multiply 2 * 2
4x + -1(x + -1)(2x + -1) = 359

Reorder the terms:
4x + -1(-1 + x)(2x + -1) = 359

Reorder the terms:
4x + -1(-1 + x)(-1 + 2x) = 359

Multiply (-1 + x) * (-1 + 2x)
4x + -1(-1(-1 + 2x) + x(-1 + 2x)) = 359
4x + -1((-1 * -1 + 2x * -1) + x(-1 + 2x)) = 359
4x + -1((1 + -2x) + x(-1 + 2x)) = 359
4x + -1(1 + -2x + (-1 * x + 2x * x)) = 359
4x + -1(1 + -2x + (-1x + 2x2)) = 359

Combine like terms: -2x + -1x = -3x
4x + -1(1 + -3x + 2x2) = 359
4x + (1 * -1 + -3x * -1 + 2x2 * -1) = 359
4x + (-1 + 3x + -2x2) = 359

Reorder the terms:
-1 + 4x + 3x + -2x2 = 359

Combine like terms: 4x + 3x = 7x
-1 + 7x + -2x2 = 359

Solving
-1 + 7x + -2x2 = 359

Solving for variable 'x'.

Reorder the terms:
-1 + -359 + 7x + -2x2 = 359 + -359

Combine like terms: -1 + -359 = -360
-360 + 7x + -2x2 = 359 + -359

Combine like terms: 359 + -359 = 0
-360 + 7x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
180 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-180' to each side of the equation.
180 + -3.5x + -180 + x2 = 0 + -180

Reorder the terms:
180 + -180 + -3.5x + x2 = 0 + -180

Combine like terms: 180 + -180 = 0
0 + -3.5x + x2 = 0 + -180
-3.5x + x2 = 0 + -180

Combine like terms: 0 + -180 = -180
-3.5x + x2 = -180

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -180 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -180 + 3.0625

Combine like terms: -180 + 3.0625 = -176.9375
3.0625 + -3.5x + x2 = -176.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -176.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.