8x^3+50x=0

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Solution for 8x^3+50x=0 equation:


Simplifying
8x3 + 50x = 0

Reorder the terms:
50x + 8x3 = 0

Solving
50x + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(25 + 4x2) = 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 '(25 + 4x2)' equal to zero and attempt to solve: Simplifying 25 + 4x2 = 0 Solving 25 + 4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 4x2 = 0 + -25 4x2 = 0 + -25 Combine like terms: 0 + -25 = -25 4x2 = -25 Divide each side by '4'. x2 = -6.25 Simplifying x2 = -6.25 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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