3c^5=-648c^2

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Solution for 3c^5=-648c^2 equation:


Simplifying
3c5 = -648c2

Solving
3c5 = -648c2

Solving for variable 'c'.

Reorder the terms:
648c2 + 3c5 = -648c2 + 648c2

Combine like terms: -648c2 + 648c2 = 0
648c2 + 3c5 = 0

Factor out the Greatest Common Factor (GCF), '3c2'.
3c2(216 + c3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}

Subproblem 2

Set the factor '(216 + c3)' equal to zero and attempt to solve: Simplifying 216 + c3 = 0 Solving 216 + c3 = 0 Move all terms containing c to the left, all other terms to the right. Add '-216' to each side of the equation. 216 + -216 + c3 = 0 + -216 Combine like terms: 216 + -216 = 0 0 + c3 = 0 + -216 c3 = 0 + -216 Combine like terms: 0 + -216 = -216 c3 = -216 Simplifying c3 = -216 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

c = {0}

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