(2x-1)(2x-1)=-16

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Solution for (2x-1)(2x-1)=-16 equation: 


Simplifying
(2x + -1)(2x + -1) = -16

Reorder the terms:
(-1 + 2x)(2x + -1) = -16

Reorder the terms:
(-1 + 2x)(-1 + 2x) = -16

Multiply (-1 + 2x) * (-1 + 2x)
(-1(-1 + 2x) + 2x * (-1 + 2x)) = -16
((-1 * -1 + 2x * -1) + 2x * (-1 + 2x)) = -16
((1 + -2x) + 2x * (-1 + 2x)) = -16
(1 + -2x + (-1 * 2x + 2x * 2x)) = -16
(1 + -2x + (-2x + 4x2)) = -16

Combine like terms: -2x + -2x = -4x
(1 + -4x + 4x2) = -16

Solving
1 + -4x + 4x2 = -16

Solving for variable 'x'.

Reorder the terms:
1 + 16 + -4x + 4x2 = -16 + 16

Combine like terms: 1 + 16 = 17
17 + -4x + 4x2 = -16 + 16

Combine like terms: -16 + 16 = 0
17 + -4x + 4x2 = 0

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

Divide each side by '4'.
4.25 + -1x + x2 = 0

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + -1x + -4.25 + x2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + -1x + x2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + -1x + x2 = 0 + -4.25
-1x + x2 = 0 + -4.25

Combine like terms: 0 + -4.25 = -4.25
-1x + x2 = -4.25

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -4.25 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -4.25 + 0.25

Combine like terms: -4.25 + 0.25 = -4
0.25 + -1x + x2 = -4

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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