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

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


Simplifying
0 = x5 + -3x2 + 2x

Reorder the terms:
0 = 2x + -3x2 + x5

Solving
0 = 2x + -3x2 + x5

Solving for variable 'x'.
Remove the zero:
-2x + 3x2 + -1x5 = 2x + -3x2 + x5 + -2x + 3x2 + -1x5

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + 3x + -1x4) = 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 '(-2 + 3x + -1x4)' equal to zero and attempt to solve: Simplifying -2 + 3x + -1x4 = 0 Solving -2 + 3x + -1x4 = 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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