9c^3=81c

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Solution for 9c^3=81c equation:


Simplifying
9c3 = 81c

Solving
9c3 = 81c

Solving for variable 'c'.

Reorder the terms:
-81c + 9c3 = 81c + -81c

Combine like terms: 81c + -81c = 0
-81c + 9c3 = 0

Factor out the Greatest Common Factor (GCF), '9c'.
9c(-9 + c2) = 0

Factor a difference between two squares.
9c((3 + c)(-3 + c)) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0

Subproblem 2

Set the factor '(3 + c)' equal to zero and attempt to solve: Simplifying 3 + c = 0 Solving 3 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + c = 0 + -3 c = 0 + -3 Combine like terms: 0 + -3 = -3 c = -3 Simplifying c = -3

Subproblem 3

Set the factor '(-3 + c)' equal to zero and attempt to solve: Simplifying -3 + c = 0 Solving -3 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + c = 0 + 3 c = 0 + 3 Combine like terms: 0 + 3 = 3 c = 3 Simplifying c = 3

Solution

c = {0, -3, 3}

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