5x^3=-50x

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Solution for 5x^3=-50x equation:


Simplifying
5x3 = -50x

Solving
5x3 = -50x

Solving for variable 'x'.

Reorder the terms:
50x + 5x3 = -50x + 50x

Combine like terms: -50x + 50x = 0
50x + 5x3 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(10 + x2) = 0

Ignore the factor 5.

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 '(10 + x2)' equal to zero and attempt to solve: Simplifying 10 + x2 = 0 Solving 10 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x2 = 0 + -10 x2 = 0 + -10 Combine like terms: 0 + -10 = -10 x2 = -10 Simplifying x2 = -10 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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