0=2x^5+12x^4+16x^3-12x^2-18x

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Solution for 0=2x^5+12x^4+16x^3-12x^2-18x equation: 


Simplifying
0 = 2x5 + 12x4 + 16x3 + -12x2 + -18x

Reorder the terms:
0 = -18x + -12x2 + 16x3 + 12x4 + 2x5

Solving
0 = -18x + -12x2 + 16x3 + 12x4 + 2x5

Solving for variable 'x'.
Remove the zero:
18x + 12x2 + -16x3 + -12x4 + -2x5 = -18x + -12x2 + 16x3 + 12x4 + 2x5 + 18x + 12x2 + -16x3 + -12x4 + -2x5

Reorder the terms:
18x + 12x2 + -16x3 + -12x4 + -2x5 = -18x + 18x + -12x2 + 12x2 + 16x3 + -16x3 + 12x4 + -12x4 + 2x5 + -2x5

Combine like terms: -18x + 18x = 0
18x + 12x2 + -16x3 + -12x4 + -2x5 = 0 + -12x2 + 12x2 + 16x3 + -16x3 + 12x4 + -12x4 + 2x5 + -2x5
18x + 12x2 + -16x3 + -12x4 + -2x5 = -12x2 + 12x2 + 16x3 + -16x3 + 12x4 + -12x4 + 2x5 + -2x5

Combine like terms: -12x2 + 12x2 = 0
18x + 12x2 + -16x3 + -12x4 + -2x5 = 0 + 16x3 + -16x3 + 12x4 + -12x4 + 2x5 + -2x5
18x + 12x2 + -16x3 + -12x4 + -2x5 = 16x3 + -16x3 + 12x4 + -12x4 + 2x5 + -2x5

Combine like terms: 16x3 + -16x3 = 0
18x + 12x2 + -16x3 + -12x4 + -2x5 = 0 + 12x4 + -12x4 + 2x5 + -2x5
18x + 12x2 + -16x3 + -12x4 + -2x5 = 12x4 + -12x4 + 2x5 + -2x5

Combine like terms: 12x4 + -12x4 = 0
18x + 12x2 + -16x3 + -12x4 + -2x5 = 0 + 2x5 + -2x5
18x + 12x2 + -16x3 + -12x4 + -2x5 = 2x5 + -2x5

Combine like terms: 2x5 + -2x5 = 0
18x + 12x2 + -16x3 + -12x4 + -2x5 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(9 + 6x + -8x2 + -6x3 + -1x4) = 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 '(9 + 6x + -8x2 + -6x3 + -1x4)' equal to zero and attempt to solve:

Simplifying
9 + 6x + -8x2 + -6x3 + -1x4 = 0

Solving
9 + 6x + -8x2 + -6x3 + -1x4 = 0

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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