0=2x^4-6x^3+5x^2-15x

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Solution for 0=2x^4-6x^3+5x^2-15x equation: 


Simplifying
0 = 2x4 + -6x3 + 5x2 + -15x

Reorder the terms:
0 = -15x + 5x2 + -6x3 + 2x4

Solving
0 = -15x + 5x2 + -6x3 + 2x4

Solving for variable 'x'.
Remove the zero:
15x + -5x2 + 6x3 + -2x4 = -15x + 5x2 + -6x3 + 2x4 + 15x + -5x2 + 6x3 + -2x4

Reorder the terms:
15x + -5x2 + 6x3 + -2x4 = -15x + 15x + 5x2 + -5x2 + -6x3 + 6x3 + 2x4 + -2x4

Combine like terms: -15x + 15x = 0
15x + -5x2 + 6x3 + -2x4 = 0 + 5x2 + -5x2 + -6x3 + 6x3 + 2x4 + -2x4
15x + -5x2 + 6x3 + -2x4 = 5x2 + -5x2 + -6x3 + 6x3 + 2x4 + -2x4

Combine like terms: 5x2 + -5x2 = 0
15x + -5x2 + 6x3 + -2x4 = 0 + -6x3 + 6x3 + 2x4 + -2x4
15x + -5x2 + 6x3 + -2x4 = -6x3 + 6x3 + 2x4 + -2x4

Combine like terms: -6x3 + 6x3 = 0
15x + -5x2 + 6x3 + -2x4 = 0 + 2x4 + -2x4
15x + -5x2 + 6x3 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
15x + -5x2 + 6x3 + -2x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + -5x + 6x2 + -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 '(15 + -5x + 6x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
15 + -5x + 6x2 + -2x3 = 0

Solving
15 + -5x + 6x2 + -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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