a^2b^3c=abc

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Solution for a^2b^3c=abc equation:


Simplifying
a2b3c = abc

Solving
a2b3c = abc

Solving for variable 'a'.

Reorder the terms:
-1abc + a2b3c = abc + -1abc

Combine like terms: abc + -1abc = 0
-1abc + a2b3c = 0

Factor out the Greatest Common Factor (GCF), 'abc'.
abc(-1 + ab2) = 0

Subproblem 1

Set the factor 'abc' equal to zero and attempt to solve: Simplifying abc = 0 Solving abc = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abc = 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 '(-1 + ab2)' equal to zero and attempt to solve: Simplifying -1 + ab2 = 0 Solving -1 + ab2 = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + ab2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + ab2 = 0 + 1 ab2 = 0 + 1 Combine like terms: 0 + 1 = 1 ab2 = 1 Divide each side by 'b2'. a = b-2 Simplifying a = b-2

Solution

a = {b-2}

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