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

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

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

Reorder the terms:
-4x(-3 + 2x) = 2x + 11
(-3 * -4x + 2x * -4x) = 2x + 11
(12x + -8x2) = 2x + 11

Reorder the terms:
12x + -8x2 = 11 + 2x

Solving
12x + -8x2 = 11 + 2x

Solving for variable 'x'.

Reorder the terms:
-11 + 12x + -2x + -8x2 = 11 + 2x + -11 + -2x

Combine like terms: 12x + -2x = 10x
-11 + 10x + -8x2 = 11 + 2x + -11 + -2x

Reorder the terms:
-11 + 10x + -8x2 = 11 + -11 + 2x + -2x

Combine like terms: 11 + -11 = 0
-11 + 10x + -8x2 = 0 + 2x + -2x
-11 + 10x + -8x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + 10x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
1.375 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-1.375' to each side of the equation.
1.375 + -1.25x + -1.375 + x2 = 0 + -1.375

Reorder the terms:
1.375 + -1.375 + -1.25x + x2 = 0 + -1.375

Combine like terms: 1.375 + -1.375 = 0.000
0.000 + -1.25x + x2 = 0 + -1.375
-1.25x + x2 = 0 + -1.375

Combine like terms: 0 + -1.375 = -1.375
-1.25x + x2 = -1.375

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 = -1.375 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -1.375 + 0.390625

Combine like terms: -1.375 + 0.390625 = -0.984375
0.390625 + -1.25x + x2 = -0.984375

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -0.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.