2x^3-18x^2+32x^2+128x=0

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Solution for 2x^3-18x^2+32x^2+128x=0 equation: 


Simplifying
2x3 + -18x2 + 32x2 + 128x = 0

Reorder the terms:
128x + -18x2 + 32x2 + 2x3 = 0

Combine like terms: -18x2 + 32x2 = 14x2
128x + 14x2 + 2x3 = 0

Solving
128x + 14x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(64 + 7x + x2) = 0

Ignore the factor 2.

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 '(64 + 7x + x2)' equal to zero and attempt to solve:

Simplifying
64 + 7x + x2 = 0

Solving
64 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + 7x + -64 + x2 = 0 + -64

Reorder the terms:
64 + -64 + 7x + x2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 7x + x2 = 0 + -64
7x + x2 = 0 + -64

Combine like terms: 0 + -64 = -64
7x + x2 = -64

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -64 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -64 + 12.25

Combine like terms: -64 + 12.25 = -51.75
12.25 + 7x + x2 = -51.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -51.75

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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