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

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


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

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

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

Multiply (-3 + 2x) * (-1 + 2x)
(-3(-1 + 2x) + 2x * (-1 + 2x)) = -4
((-1 * -3 + 2x * -3) + 2x * (-1 + 2x)) = -4
((3 + -6x) + 2x * (-1 + 2x)) = -4
(3 + -6x + (-1 * 2x + 2x * 2x)) = -4
(3 + -6x + (-2x + 4x2)) = -4

Combine like terms: -6x + -2x = -8x
(3 + -8x + 4x2) = -4

Solving
3 + -8x + 4x2 = -4

Solving for variable 'x'.

Reorder the terms:
3 + 4 + -8x + 4x2 = -4 + 4

Combine like terms: 3 + 4 = 7
7 + -8x + 4x2 = -4 + 4

Combine like terms: -4 + 4 = 0
7 + -8x + 4x2 = 0

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

Divide each side by '4'.
1.75 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -2x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -2x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -2x + x2 = 0 + -1.75
-2x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-2x + x2 = -1.75

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -1.75 + 1

Reorder the terms:
1 + -2x + x2 = -1.75 + 1

Combine like terms: -1.75 + 1 = -0.75
1 + -2x + x2 = -0.75

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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