(8a^6b^5-3a^2)(-5ab^3)=0

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Solution for (8a^6b^5-3a^2)(-5ab^3)=0 equation:


Simplifying
(8a6b5 + -3a2)(-5ab3) = 0

Reorder the terms:
(-3a2 + 8a6b5)(-5ab3) = 0

Remove parenthesis around (-5ab3)
(-3a2 + 8a6b5) * -5ab3 = 0

Reorder the terms for easier multiplication:
-5ab3(-3a2 + 8a6b5) = 0
(-3a2 * -5ab3 + 8a6b5 * -5ab3) = 0
(15a3b3 + -40a7b8) = 0

Solving
15a3b3 + -40a7b8 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a3b3'.
5a3b3(3 + -8a4b5) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'a3b3' equal to zero and attempt to solve: Simplifying a3b3 = 0 Solving a3b3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b3 = 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 '(3 + -8a4b5)' equal to zero and attempt to solve: Simplifying 3 + -8a4b5 = 0 Solving 3 + -8a4b5 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8a4b5 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8a4b5 = 0 + -3 -8a4b5 = 0 + -3 Combine like terms: 0 + -3 = -3 -8a4b5 = -3 Divide each side by '-8b5'. a4 = 0.375b-5 Simplifying a4 = 0.375b-5 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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