x^4=3x^2-2x

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Solution for x^4=3x^2-2x equation: 


Simplifying
x4 = 3x2 + -2x

Reorder the terms:
x4 = -2x + 3x2

Solving
x4 = -2x + 3x2

Solving for variable 'x'.

Reorder the terms:
2x + -3x2 + x4 = -2x + 3x2 + 2x + -3x2

Reorder the terms:
2x + -3x2 + x4 = -2x + 2x + 3x2 + -3x2

Combine like terms: -2x + 2x = 0
2x + -3x2 + x4 = 0 + 3x2 + -3x2
2x + -3x2 + x4 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
2x + -3x2 + x4 = 0

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

Simplifying
2 + -3x + x3 = 0

Solving
2 + -3x + x3 = 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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