9a^2A^3-27aA^2+18aA^4=

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Solution for 9a^2A^3-27aA^2+18aA^4= equation:


Simplifying
9a2A3 + -27aA2 + 18aA4 = 0

Reorder the terms:
-27aA2 + 18aA4 + 9a2A3 = 0

Solving
-27aA2 + 18aA4 + 9a2A3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '9aA2'.
9aA2(-3 + 2A2 + aA) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'aA2' equal to zero and attempt to solve: Simplifying aA2 = 0 Solving aA2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying aA2 = 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 '(-3 + 2A2 + aA)' equal to zero and attempt to solve: Simplifying -3 + 2A2 + aA = 0 Solving -3 + 2A2 + aA = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2A2 + 3 + aA = 0 + 3 Reorder the terms: -3 + 3 + 2A2 + aA = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2A2 + aA = 0 + 3 2A2 + aA = 0 + 3 Combine like terms: 0 + 3 = 3 2A2 + aA = 3 Add '-2A2' to each side of the equation. 2A2 + -2A2 + aA = 3 + -2A2 Combine like terms: 2A2 + -2A2 = 0 0 + aA = 3 + -2A2 aA = 3 + -2A2 Divide each side by 'A'. a = 3A-1 + -2A Simplifying a = 3A-1 + -2A

Solution

a = {3A-1 + -2A}

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