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

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


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

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

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

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

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

Solving
-32x + 3x2 + -12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-32 + 3x + -12x2) = 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 + -12x2)' equal to zero and attempt to solve:

Simplifying
-32 + 3x + -12x2 = 0

Solving
-32 + 3x + -12x2 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
2.666666667 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -0.25x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -0.25x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -0.25x + x2 = 0 + -2.666666667
-0.25x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-0.25x + x2 = -2.666666667

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -2.666666667 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -2.666666667 + 0.015625

Combine like terms: -2.666666667 + 0.015625 = -2.651041667
0.015625 + -0.25x + x2 = -2.651041667

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -2.651041667

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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