(27x^5)+x^2=0

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


Simplifying
(27x5) + x2 = 0

Reorder the terms:
x2 + (27x5) = 0

Solving
x2 + (27x5) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(1 + (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 '(1 + (27x3))' equal to zero and attempt to solve: Simplifying 1 + (27x3) = 0 Solving 1 + (27x3) = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + (27x3) = 0 + -1 Combine like terms: 1 + -1 = 0 0 + (27x3) = 0 + -1 (27x3) = 0 + -1 Combine like terms: 0 + -1 = -1 (27x3) = -1 Divide each side by '27'. x3 = -0.03703703704 Simplifying x3 = -0.03703703704 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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