-2x^5+3x^4+9x^3=-x^2+3x

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Solution for -2x^5+3x^4+9x^3=-x^2+3x equation: 


Simplifying
-2x5 + 3x4 + 9x3 = -1x2 + 3x

Reorder the terms:
9x3 + 3x4 + -2x5 = -1x2 + 3x

Reorder the terms:
9x3 + 3x4 + -2x5 = 3x + -1x2

Solving
9x3 + 3x4 + -2x5 = 3x + -1x2

Solving for variable 'x'.

Reorder the terms:
-3x + x2 + 9x3 + 3x4 + -2x5 = 3x + -1x2 + -3x + x2

Reorder the terms:
-3x + x2 + 9x3 + 3x4 + -2x5 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
-3x + x2 + 9x3 + 3x4 + -2x5 = 0 + -1x2 + x2
-3x + x2 + 9x3 + 3x4 + -2x5 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-3x + x2 + 9x3 + 3x4 + -2x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + x + 9x2 + 3x3 + -2x4) = 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 '(-3 + x + 9x2 + 3x3 + -2x4)' equal to zero and attempt to solve:

Simplifying
-3 + x + 9x2 + 3x3 + -2x4 = 0

Solving
-3 + x + 9x2 + 3x3 + -2x4 = 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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