6x^4+32x^3=0

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Solution for 6x^4+32x^3=0 equation:


Simplifying
6x4 + 32x3 = 0

Reorder the terms:
32x3 + 6x4 = 0

Solving
32x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x3'.
2x3(16 + 3x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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 '(16 + 3x)' equal to zero and attempt to solve: Simplifying 16 + 3x = 0 Solving 16 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 0 + -16 3x = 0 + -16 Combine like terms: 0 + -16 = -16 3x = -16 Divide each side by '3'. x = -5.333333333 Simplifying x = -5.333333333

Solution

x = {-5.333333333}

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