2x^4-18x^2=5x^3-45x

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Solution for 2x^4-18x^2=5x^3-45x equation: 


Simplifying
2x4 + -18x2 = 5x3 + -45x

Reorder the terms:
-18x2 + 2x4 = 5x3 + -45x

Reorder the terms:
-18x2 + 2x4 = -45x + 5x3

Solving
-18x2 + 2x4 = -45x + 5x3

Solving for variable 'x'.

Reorder the terms:
45x + -18x2 + -5x3 + 2x4 = -45x + 5x3 + 45x + -5x3

Reorder the terms:
45x + -18x2 + -5x3 + 2x4 = -45x + 45x + 5x3 + -5x3

Combine like terms: -45x + 45x = 0
45x + -18x2 + -5x3 + 2x4 = 0 + 5x3 + -5x3
45x + -18x2 + -5x3 + 2x4 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
45x + -18x2 + -5x3 + 2x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(45 + -18x + -5x2 + 2x3) = 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 '(45 + -18x + -5x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
45 + -18x + -5x2 + 2x3 = 0

Solving
45 + -18x + -5x2 + 2x3 = 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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