4x(7-3x-2x^2)+5(3x^2-12x)=

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Solution for 4x(7-3x-2x^2)+5(3x^2-12x)= equation: 


Simplifying
4x(7 + -3x + -2x2) + 5(3x2 + -12x) = 0
(7 * 4x + -3x * 4x + -2x2 * 4x) + 5(3x2 + -12x) = 0
(28x + -12x2 + -8x3) + 5(3x2 + -12x) = 0

Reorder the terms:
28x + -12x2 + -8x3 + 5(-12x + 3x2) = 0
28x + -12x2 + -8x3 + (-12x * 5 + 3x2 * 5) = 0
28x + -12x2 + -8x3 + (-60x + 15x2) = 0

Reorder the terms:
28x + -60x + -12x2 + 15x2 + -8x3 = 0

Combine like terms: 28x + -60x = -32x
-32x + -12x2 + 15x2 + -8x3 = 0

Combine like terms: -12x2 + 15x2 = 3x2
-32x + 3x2 + -8x3 = 0

Solving
-32x + 3x2 + -8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-32 + 3x + -8x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-32 + 3x + -8x2)' equal to zero and attempt to solve:

Simplifying
-32 + 3x + -8x2 = 0

Solving
-32 + 3x + -8x2 = 0

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

Divide each side by '-8'.
4 + -0.375x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -0.375x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -0.375x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -0.375x + x2 = 0 + -4
-0.375x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-0.375x + x2 = -4

The x term is -0.375x.  Take half its coefficient (-0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
-0.375x + 0.03515625 + x2 = -4 + 0.03515625

Reorder the terms:
0.03515625 + -0.375x + x2 = -4 + 0.03515625

Combine like terms: -4 + 0.03515625 = -3.96484375
0.03515625 + -0.375x + x2 = -3.96484375

Factor a perfect square on the left side:
(x + -0.1875)(x + -0.1875) = -3.96484375

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.
Solution
x = {0}

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