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

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


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

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

Combine like terms: 16x3 + -12x3 = 4x3
-18x + 4x3 + 12x4 + 2x5 = 0

Solving
-18x + 4x3 + 12x4 + 2x5 = 0

Solving for variable 'x'.

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

Simplifying
-9 + 2x2 + 6x3 + x4 = 0

Solving
-9 + 2x2 + 6x3 + x4 = 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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