3x^3-2x=-5x

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


Simplifying
3x3 + -2x = -5x

Reorder the terms:
-2x + 3x3 = -5x

Solving
-2x + 3x3 = -5x

Solving for variable 'x'.

Reorder the terms:
-2x + 5x + 3x3 = -5x + 5x

Combine like terms: -2x + 5x = 3x
3x + 3x3 = -5x + 5x

Combine like terms: -5x + 5x = 0
3x + 3x3 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(1 + x2) = 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 '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 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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