10x^4-45x=30x^2-15x^3

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Solution for 10x^4-45x=30x^2-15x^3 equation: 


Simplifying
10x4 + -45x = 30x2 + -15x3

Reorder the terms:
-45x + 10x4 = 30x2 + -15x3

Solving
-45x + 10x4 = 30x2 + -15x3

Solving for variable 'x'.

Reorder the terms:
-45x + -30x2 + 15x3 + 10x4 = 30x2 + -15x3 + -30x2 + 15x3

Reorder the terms:
-45x + -30x2 + 15x3 + 10x4 = 30x2 + -30x2 + -15x3 + 15x3

Combine like terms: 30x2 + -30x2 = 0
-45x + -30x2 + 15x3 + 10x4 = 0 + -15x3 + 15x3
-45x + -30x2 + 15x3 + 10x4 = -15x3 + 15x3

Combine like terms: -15x3 + 15x3 = 0
-45x + -30x2 + 15x3 + 10x4 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-9 + -6x + 3x2 + 2x3) = 0

Ignore the factor 5.

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 + 3x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-9 + -6x + 3x2 + 2x3 = 0

Solving
-9 + -6x + 3x2 + 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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