x^3(2x^2+4x)=0

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Solution for x^3(2x^2+4x)=0 equation:


Simplifying
x3(2x2 + 4x) = 0

Reorder the terms:
x3(4x + 2x2) = 0
(4x * x3 + 2x2 * x3) = 0
(4x4 + 2x5) = 0

Solving
4x4 + 2x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x4'.
2x4(2 + x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

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

Solution

x = {-2}

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