a^3*b^2=72

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Solution for a^3*b^2=72 equation:


Simplifying
a3 * b2 = 72

Multiply a3 * b2
a3b2 = 72

Solving
a3b2 = 72

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Divide each side by 'b2'.
a3 = 72b-2

Simplifying
a3 = 72b-2

Combine like terms: 72b-2 + -72b-2 = 0
a3 + -72b-2 = 0

Factor out the Greatest Common Factor (GCF), 'b-2'.
b-2(a3b2 + -72) = 0

Subproblem 1

Set the factor 'b-2' equal to zero and attempt to solve: Simplifying b-2 = 0 Solving b-2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-2' to each side of the equation. b-2 + -1b-2 = 0 + -1b-2 Remove the zero: 0 = -1b-2 Simplifying 0 = -1b-2 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 '(a3b2 + -72)' equal to zero and attempt to solve: Simplifying a3b2 + -72 = 0 Reorder the terms: -72 + a3b2 = 0 Solving -72 + a3b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + a3b2 = 0 + 72 Combine like terms: -72 + 72 = 0 0 + a3b2 = 0 + 72 a3b2 = 0 + 72 Combine like terms: 0 + 72 = 72 a3b2 = 72 Divide each side by 'b2'. a3 = 72b-2 Simplifying a3 = 72b-2 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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