18a^4b^3c^2+9a^2b^4c^3-27ab^5c^4=0

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Solution for 18a^4b^3c^2+9a^2b^4c^3-27ab^5c^4=0 equation:


Simplifying
18a4b3c2 + 9a2b4c3 + -27ab5c4 = 0

Reorder the terms:
-27ab5c4 + 9a2b4c3 + 18a4b3c2 = 0

Solving
-27ab5c4 + 9a2b4c3 + 18a4b3c2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '9ab3c2'.
9ab3c2(-3b2c2 + abc + 2a3) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'ab3c2' equal to zero and attempt to solve: Simplifying ab3c2 = 0 Solving ab3c2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab3c2 = 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 '(-3b2c2 + abc + 2a3)' equal to zero and attempt to solve: Simplifying -3b2c2 + abc + 2a3 = 0 Reorder the terms: abc + 2a3 + -3b2c2 = 0 Solving abc + 2a3 + -3b2c2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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