32x^5-108x^2=0

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Solution for 32x^5-108x^2=0 equation:


Simplifying
32x5 + -108x2 = 0

Reorder the terms:
-108x2 + 32x5 = 0

Solving
-108x2 + 32x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-27 + 8x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-27 + 8x3)' equal to zero and attempt to solve: Simplifying -27 + 8x3 = 0 Solving -27 + 8x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 8x3 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 8x3 = 0 + 27 8x3 = 0 + 27 Combine like terms: 0 + 27 = 27 8x3 = 27 Divide each side by '8'. x3 = 3.375 Simplifying x3 = 3.375 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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