x(250x^3+128)=0

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Solution for x(250x^3+128)=0 equation:


Simplifying
x(250x3 + 128) = 0

Reorder the terms:
x(128 + 250x3) = 0
(128 * x + 250x3 * x) = 0
(128x + 250x4) = 0

Solving
128x + 250x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(64 + 125x3) = 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 '(64 + 125x3)' equal to zero and attempt to solve: Simplifying 64 + 125x3 = 0 Solving 64 + 125x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 125x3 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 125x3 = 0 + -64 125x3 = 0 + -64 Combine like terms: 0 + -64 = -64 125x3 = -64 Divide each side by '125'. x3 = -0.512 Simplifying x3 = -0.512 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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