2x-4[(2x-3)(x+3)-(8x+3)(2x-1)]=

Solution for 2x-4[(2x-3)(x+3)-(8x+3)(2x-1)]= equation:

Simplifying
2x + -4[(2x + -3)(x + 3) + -1(8x + 3)(2x + -1)] = 0

Reorder the terms:
2x + -4[(-3 + 2x)(x + 3) + -1(8x + 3)(2x + -1)] = 0

Reorder the terms:
2x + -4[(-3 + 2x)(3 + x) + -1(8x + 3)(2x + -1)] = 0

Multiply (-3 + 2x) * (3 + x)
2x + -4[(-3(3 + x) + 2x * (3 + x)) + -1(8x + 3)(2x + -1)] = 0
2x + -4[((3 * -3 + x * -3) + 2x * (3 + x)) + -1(8x + 3)(2x + -1)] = 0
2x + -4[((-9 + -3x) + 2x * (3 + x)) + -1(8x + 3)(2x + -1)] = 0
2x + -4[(-9 + -3x + (3 * 2x + x * 2x)) + -1(8x + 3)(2x + -1)] = 0
2x + -4[(-9 + -3x + (6x + 2x2)) + -1(8x + 3)(2x + -1)] = 0

Combine like terms: -3x + 6x = 3x
2x + -4[(-9 + 3x + 2x2) + -1(8x + 3)(2x + -1)] = 0

Reorder the terms:
2x + -4[-9 + 3x + 2x2 + -1(3 + 8x)(2x + -1)] = 0

Reorder the terms:
2x + -4[-9 + 3x + 2x2 + -1(3 + 8x)(-1 + 2x)] = 0

Multiply (3 + 8x) * (-1 + 2x)
2x + -4[-9 + 3x + 2x2 + -1(3(-1 + 2x) + 8x * (-1 + 2x))] = 0
2x + -4[-9 + 3x + 2x2 + -1((-1 * 3 + 2x * 3) + 8x * (-1 + 2x))] = 0
2x + -4[-9 + 3x + 2x2 + -1((-3 + 6x) + 8x * (-1 + 2x))] = 0
2x + -4[-9 + 3x + 2x2 + -1(-3 + 6x + (-1 * 8x + 2x * 8x))] = 0
2x + -4[-9 + 3x + 2x2 + -1(-3 + 6x + (-8x + 16x2))] = 0

Combine like terms: 6x + -8x = -2x
2x + -4[-9 + 3x + 2x2 + -1(-3 + -2x + 16x2)] = 0
2x + -4[-9 + 3x + 2x2 + (-3 * -1 + -2x * -1 + 16x2 * -1)] = 0
2x + -4[-9 + 3x + 2x2 + (3 + 2x + -16x2)] = 0

Reorder the terms:
2x + -4[-9 + 3 + 3x + 2x + 2x2 + -16x2] = 0

Combine like terms: -9 + 3 = -6
2x + -4[-6 + 3x + 2x + 2x2 + -16x2] = 0

Combine like terms: 3x + 2x = 5x
2x + -4[-6 + 5x + 2x2 + -16x2] = 0

Combine like terms: 2x2 + -16x2 = -14x2
2x + -4[-6 + 5x + -14x2] = 0
2x + [-6 * -4 + 5x * -4 + -14x2 * -4] = 0
2x + [24 + -20x + 56x2] = 0

Reorder the terms:
24 + 2x + -20x + 56x2 = 0

Combine like terms: 2x + -20x = -18x
24 + -18x + 56x2 = 0

Solving
24 + -18x + 56x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -9x + 28x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(12 + -9x + 28x2)' equal to zero and attempt to solve:

Simplifying
12 + -9x + 28x2 = 0

Solving
12 + -9x + 28x2 = 0

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

Divide each side by '28'.
0.4285714286 + -0.3214285714x + x2 = 0

Move the constant term to the right:

Add '-0.4285714286' to each side of the equation.
0.4285714286 + -0.3214285714x + -0.4285714286 + x2 = 0 + -0.4285714286

Reorder the terms:
0.4285714286 + -0.4285714286 + -0.3214285714x + x2 = 0 + -0.4285714286

Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000
0.0000000000 + -0.3214285714x + x2 = 0 + -0.4285714286
-0.3214285714x + x2 = 0 + -0.4285714286

Combine like terms: 0 + -0.4285714286 = -0.4285714286
-0.3214285714x + x2 = -0.4285714286

The x term is -0.3214285714x.  Take half its coefficient (-0.1607142857).
Square it (0.02582908163) and add it to both sides.

Add '0.02582908163' to each side of the equation.
-0.3214285714x + 0.02582908163 + x2 = -0.4285714286 + 0.02582908163

Reorder the terms:
0.02582908163 + -0.3214285714x + x2 = -0.4285714286 + 0.02582908163

Combine like terms: -0.4285714286 + 0.02582908163 = -0.40274234697
0.02582908163 + -0.3214285714x + x2 = -0.40274234697

Factor a perfect square on the left side:
(x + -0.1607142857)(x + -0.1607142857) = -0.40274234697

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.