8ab(a^2b^2)=624

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Solution for 8ab(a^2b^2)=624 equation:


Simplifying
8ab(a2b2) = 624

Multiply ab * a2b2
8a3b3 = 624

Solving
8a3b3 = 624

Solving for variable 'a'.

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

Divide each side by '8b3'.
a3 = 78b-3

Simplifying
a3 = 78b-3

Combine like terms: 78b-3 + -78b-3 = 0
a3 + -78b-3 = 0

Factor out the Greatest Common Factor (GCF), 'b-3'.
b-3(a3b3 + -78) = 0

Subproblem 1

Set the factor 'b-3' equal to zero and attempt to solve: Simplifying b-3 = 0 Solving b-3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-3' to each side of the equation. b-3 + -1b-3 = 0 + -1b-3 Remove the zero: 0 = -1b-3 Simplifying 0 = -1b-3 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 '(a3b3 + -78)' equal to zero and attempt to solve: Simplifying a3b3 + -78 = 0 Reorder the terms: -78 + a3b3 = 0 Solving -78 + a3b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + a3b3 = 0 + 78 Combine like terms: -78 + 78 = 0 0 + a3b3 = 0 + 78 a3b3 = 0 + 78 Combine like terms: 0 + 78 = 78 a3b3 = 78 Divide each side by 'b3'. a3 = 78b-3 Simplifying a3 = 78b-3 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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