-4x(2x-3)=7(x+8)

Solution for -4x(2x-3)=7(x+8) equation:

Simplifying
-4x(2x + -3) = 7(x + 8)

Reorder the terms:
-4x(-3 + 2x) = 7(x + 8)
(-3 * -4x + 2x * -4x) = 7(x + 8)
(12x + -8x2) = 7(x + 8)

Reorder the terms:
12x + -8x2 = 7(8 + x)
12x + -8x2 = (8 * 7 + x * 7)
12x + -8x2 = (56 + 7x)

Solving
12x + -8x2 = 56 + 7x

Solving for variable 'x'.

Reorder the terms:
-56 + 12x + -7x + -8x2 = 56 + 7x + -56 + -7x

Combine like terms: 12x + -7x = 5x
-56 + 5x + -8x2 = 56 + 7x + -56 + -7x

Reorder the terms:
-56 + 5x + -8x2 = 56 + -56 + 7x + -7x

Combine like terms: 56 + -56 = 0
-56 + 5x + -8x2 = 0 + 7x + -7x
-56 + 5x + -8x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-56 + 5x + -8x2 = 0

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

Divide each side by '-8'.
7 + -0.625x + x2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -0.625x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -0.625x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -0.625x + x2 = 0 + -7
-0.625x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-0.625x + x2 = -7

The x term is -0.625x.  Take half its coefficient (-0.3125).
Square it (0.09765625) and add it to both sides.

Add '0.09765625' to each side of the equation.
-0.625x + 0.09765625 + x2 = -7 + 0.09765625

Reorder the terms:
0.09765625 + -0.625x + x2 = -7 + 0.09765625

Combine like terms: -7 + 0.09765625 = -6.90234375
0.09765625 + -0.625x + x2 = -6.90234375

Factor a perfect square on the left side:
(x + -0.3125)(x + -0.3125) = -6.90234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.