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

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


Simplifying
5(x2 + -12x) + 4x(7 + -3x + -2x2) = 0

Reorder the terms:
5(-12x + x2) + 4x(7 + -3x + -2x2) = 0
(-12x * 5 + x2 * 5) + 4x(7 + -3x + -2x2) = 0
(-60x + 5x2) + 4x(7 + -3x + -2x2) = 0
-60x + 5x2 + (7 * 4x + -3x * 4x + -2x2 * 4x) = 0
-60x + 5x2 + (28x + -12x2 + -8x3) = 0

Reorder the terms:
-60x + 28x + 5x2 + -12x2 + -8x3 = 0

Combine like terms: -60x + 28x = -32x
-32x + 5x2 + -12x2 + -8x3 = 0

Combine like terms: 5x2 + -12x2 = -7x2
-32x + -7x2 + -8x3 = 0

Solving
-32x + -7x2 + -8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(32 + 7x + 8x2) = 0

Ignore the factor -1.

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 + 7x + 8x2)' equal to zero and attempt to solve:

Simplifying
32 + 7x + 8x2 = 0

Solving
32 + 7x + 8x2 = 0

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

Divide each side by '8'.
4 + 0.875x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 0.875x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 0.875x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 0.875x + x2 = 0 + -4
0.875x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
0.875x + x2 = -4

The x term is 0.875x.  Take half its coefficient (0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
0.875x + 0.19140625 + x2 = -4 + 0.19140625

Reorder the terms:
0.19140625 + 0.875x + x2 = -4 + 0.19140625

Combine like terms: -4 + 0.19140625 = -3.80859375
0.19140625 + 0.875x + x2 = -3.80859375

Factor a perfect square on the left side:
(x + 0.4375)(x + 0.4375) = -3.80859375

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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