18a^5c^6-27a^3c^8=

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Solution for 18a^5c^6-27a^3c^8= equation: 


Simplifying
18a5c6 + -27a3c8 = 0

Reorder the terms:
-27a3c8 + 18a5c6 = 0

Solving
-27a3c8 + 18a5c6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '9a3c6'.
9a3c6(-3c2 + 2a2) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'a3c6' equal to zero and attempt to solve:

Simplifying
a3c6 = 0

Solving
a3c6 = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a3c6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-3c2 + 2a2)' equal to zero and attempt to solve:

Simplifying
-3c2 + 2a2 = 0

Reorder the terms:
2a2 + -3c2 = 0

Solving
2a2 + -3c2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '3c2' to each side of the equation.
2a2 + -3c2 + 3c2 = 0 + 3c2

Combine like terms: -3c2 + 3c2 = 0
2a2 + 0 = 0 + 3c2
2a2 = 0 + 3c2
Remove the zero:
2a2 = 3c2

Divide each side by '2'.
a2 = 1.5c2

Simplifying
a2 = 1.5c2

Take the square root of each side:
a = {-1.224744871c, 1.224744871c}
Solution
a = {-1.224744871c, 1.224744871c}

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