27x^5+8x^2=0

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Solution for 27x^5+8x^2=0 equation:


Simplifying
27x5 + 8x2 = 0

Reorder the terms:
8x2 + 27x5 = 0

Solving
8x2 + 27x5 = 0

Solving for variable 'x'.

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

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 '(8 + 27x3)' equal to zero and attempt to solve: Simplifying 8 + 27x3 = 0 Solving 8 + 27x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 27x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 27x3 = 0 + -8 27x3 = 0 + -8 Combine like terms: 0 + -8 = -8 27x3 = -8 Divide each side by '27'. x3 = -0.2962962963 Simplifying x3 = -0.2962962963 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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