-4(2x-3)(2x)=11

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Solution for -4(2x-3)(2x)=11 equation: 


Simplifying
-4(2x + -3)(2x) = 11

Reorder the terms:
-4(-3 + 2x)(2x) = 11

Remove parenthesis around (2x)
-4(-3 + 2x) * 2x = 11

Reorder the terms for easier multiplication:
-4 * 2x(-3 + 2x) = 11

Multiply -4 * 2
-8x(-3 + 2x) = 11
(-3 * -8x + 2x * -8x) = 11
(24x + -16x2) = 11

Solving
24x + -16x2 = 11

Solving for variable 'x'.

Reorder the terms:
-11 + 24x + -16x2 = 11 + -11

Combine like terms: 11 + -11 = 0
-11 + 24x + -16x2 = 0

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
0.6875 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-0.6875' to each side of the equation.
0.6875 + -1.5x + -0.6875 + x2 = 0 + -0.6875

Reorder the terms:
0.6875 + -0.6875 + -1.5x + x2 = 0 + -0.6875

Combine like terms: 0.6875 + -0.6875 = 0.0000
0.0000 + -1.5x + x2 = 0 + -0.6875
-1.5x + x2 = 0 + -0.6875

Combine like terms: 0 + -0.6875 = -0.6875
-1.5x + x2 = -0.6875

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -0.6875 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -0.6875 + 0.5625

Combine like terms: -0.6875 + 0.5625 = -0.125
0.5625 + -1.5x + x2 = -0.125

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -0.125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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