16x^3+200x=0

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Solution for 16x^3+200x=0 equation:


Simplifying
16x3 + 200x = 0

Reorder the terms:
200x + 16x3 = 0

Solving
200x + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(25 + 2x2) = 0

Ignore the factor 8.

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 + 2x2)' equal to zero and attempt to solve: Simplifying 25 + 2x2 = 0 Solving 25 + 2x2 = 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 + 2x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2x2 = 0 + -25 2x2 = 0 + -25 Combine like terms: 0 + -25 = -25 2x2 = -25 Divide each side by '2'. x2 = -12.5 Simplifying x2 = -12.5 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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