(x-3)-(2x)2(x-1)-5=0

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Solution for (x-3)-(2x)2(x-1)-5=0 equation: 


Simplifying
(x + -3) + -1(2x) * 2(x + -1) + -5 = 0

Reorder the terms:
(-3 + x) + -1(2x) * 2(x + -1) + -5 = 0

Remove parenthesis around (-3 + x)
-3 + x + -1(2x) * 2(x + -1) + -5 = 0

Remove parenthesis around (2x)
-3 + x + -1 * 2x * 2(x + -1) + -5 = 0

Reorder the terms:
-3 + x + -1 * 2x * 2(-1 + x) + -5 = 0

Reorder the terms for easier multiplication:
-3 + x + -1 * 2 * 2x(-1 + x) + -5 = 0

Multiply -1 * 2
-3 + x + -2 * 2x(-1 + x) + -5 = 0

Multiply -2 * 2
-3 + x + -4x(-1 + x) + -5 = 0
-3 + x + (-1 * -4x + x * -4x) + -5 = 0
-3 + x + (4x + -4x2) + -5 = 0

Reorder the terms:
-3 + -5 + x + 4x + -4x2 = 0

Combine like terms: -3 + -5 = -8
-8 + x + 4x + -4x2 = 0

Combine like terms: x + 4x = 5x
-8 + 5x + -4x2 = 0

Solving
-8 + 5x + -4x2 = 0

Solving for variable 'x'.

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

Divide each side by '-4'.
2 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.25x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -1.25x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.25x + x2 = 0 + -2
-1.25x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.25x + x2 = -2

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = -2 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -2 + 0.390625

Combine like terms: -2 + 0.390625 = -1.609375
0.390625 + -1.25x + x2 = -1.609375

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -1.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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