3a^2b=a^3b^2-5A^2b

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Solution for 3a^2b=a^3b^2-5A^2b equation:


Simplifying
3a2b = a3b2 + -5A2b

Solving
3a2b = a3b2 + -5bA2

Solving for variable 'a'.

Reorder the terms:
3a2b + -1a3b2 + 5bA2 = a3b2 + -1a3b2 + -5bA2 + 5bA2

Combine like terms: a3b2 + -1a3b2 = 0
3a2b + -1a3b2 + 5bA2 = 0 + -5bA2 + 5bA2
3a2b + -1a3b2 + 5bA2 = -5bA2 + 5bA2

Combine like terms: -5bA2 + 5bA2 = 0
3a2b + -1a3b2 + 5bA2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(3a2 + -1a3b + 5A2) = 0

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 '(3a2 + -1a3b + 5A2)' equal to zero and attempt to solve: Simplifying 3a2 + -1a3b + 5A2 = 0 Reorder the terms: 5A2 + 3a2 + -1a3b = 0 Solving 5A2 + 3a2 + -1a3b = 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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