a^2b^5=a^3b^3

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


Simplifying
a2b5 = a3b3

Solving
a2b5 = a3b3

Solving for variable 'a'.

Combine like terms: a3b3 + -1a3b3 = 0
a2b5 + -1a3b3 = 0

Factor out the Greatest Common Factor (GCF), 'a2b3'.
a2b3(b2 + -1a) = 0

Subproblem 1

Set the factor 'a2b3' equal to zero and attempt to solve: Simplifying a2b3 = 0 Solving a2b3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b3 = 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 '(b2 + -1a)' equal to zero and attempt to solve: Simplifying b2 + -1a = 0 Reorder the terms: -1a + b2 = 0 Solving -1a + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. -1a + b2 + -1b2 = 0 + -1b2 Combine like terms: b2 + -1b2 = 0 -1a + 0 = 0 + -1b2 -1a = 0 + -1b2 Remove the zero: -1a = -1b2 Divide each side by '-1'. a = b2 Simplifying a = b2

Solution

a = {b2}

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