3a^2b^3-24ab+18a=

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Solution for 3a^2b^3-24ab+18a= equation:


Simplifying
3a2b3 + -24ab + 18a = 0

Reorder the terms:
18a + -24ab + 3a2b3 = 0

Solving
18a + -24ab + 3a2b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(6 + -8b + ab3) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(6 + -8b + ab3)' equal to zero and attempt to solve: Simplifying 6 + -8b + ab3 = 0 Reorder the terms: 6 + ab3 + -8b = 0 Solving 6 + ab3 + -8b = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + ab3 + -6 + -8b = 0 + -6 Reorder the terms: 6 + -6 + ab3 + -8b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + ab3 + -8b = 0 + -6 ab3 + -8b = 0 + -6 Combine like terms: 0 + -6 = -6 ab3 + -8b = -6 Add '8b' to each side of the equation. ab3 + -8b + 8b = -6 + 8b Combine like terms: -8b + 8b = 0 ab3 + 0 = -6 + 8b ab3 = -6 + 8b Divide each side by 'b3'. a = -6b-3 + 8b-2 Simplifying a = -6b-3 + 8b-2

Solution

a = {0, -6b-3 + 8b-2}

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