6x^4-240x=96x^2-15x^3

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Solution for 6x^4-240x=96x^2-15x^3 equation: 


Simplifying
6x4 + -240x = 96x2 + -15x3

Reorder the terms:
-240x + 6x4 = 96x2 + -15x3

Solving
-240x + 6x4 = 96x2 + -15x3

Solving for variable 'x'.

Reorder the terms:
-240x + -96x2 + 15x3 + 6x4 = 96x2 + -15x3 + -96x2 + 15x3

Reorder the terms:
-240x + -96x2 + 15x3 + 6x4 = 96x2 + -96x2 + -15x3 + 15x3

Combine like terms: 96x2 + -96x2 = 0
-240x + -96x2 + 15x3 + 6x4 = 0 + -15x3 + 15x3
-240x + -96x2 + 15x3 + 6x4 = -15x3 + 15x3

Combine like terms: -15x3 + 15x3 = 0
-240x + -96x2 + 15x3 + 6x4 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-80 + -32x + 5x2 + 2x3) = 0

Ignore the factor 3.

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 '(-80 + -32x + 5x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-80 + -32x + 5x2 + 2x3 = 0

Solving
-80 + -32x + 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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