6x^5=-1296x^2

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Solution for 6x^5=-1296x^2 equation:


Simplifying
6x5 = -1296x2

Solving
6x5 = -1296x2

Solving for variable 'x'.

Reorder the terms:
1296x2 + 6x5 = -1296x2 + 1296x2

Combine like terms: -1296x2 + 1296x2 = 0
1296x2 + 6x5 = 0

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(216 + x3) = 0

Ignore the factor 6.

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 '(216 + x3)' equal to zero and attempt to solve: Simplifying 216 + x3 = 0 Solving 216 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-216' to each side of the equation. 216 + -216 + x3 = 0 + -216 Combine like terms: 216 + -216 = 0 0 + x3 = 0 + -216 x3 = 0 + -216 Combine like terms: 0 + -216 = -216 x3 = -216 Simplifying x3 = -216 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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