4x^3+10x=0

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Solution for 4x^3+10x=0 equation:


Simplifying
4x3 + 10x = 0

Reorder the terms:
10x + 4x3 = 0

Solving
10x + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(5 + 2x2) = 0

Ignore the factor 2.

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 '(5 + 2x2)' equal to zero and attempt to solve: Simplifying 5 + 2x2 = 0 Solving 5 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x2 = 0 + -5 2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2x2 = -5 Divide each side by '2'. x2 = -2.5 Simplifying x2 = -2.5 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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