6a^5b=8a^2b^4

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Solution for 6a^5b=8a^2b^4 equation:


Simplifying
6a5b = 8a2b4

Solving
6a5b = 8a2b4

Solving for variable 'a'.

Reorder the terms:
-8a2b4 + 6a5b = 8a2b4 + -8a2b4

Combine like terms: 8a2b4 + -8a2b4 = 0
-8a2b4 + 6a5b = 0

Factor out the Greatest Common Factor (GCF), '2a2b'.
2a2b(-4b3 + 3a3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 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 '(-4b3 + 3a3)' equal to zero and attempt to solve: Simplifying -4b3 + 3a3 = 0 Reorder the terms: 3a3 + -4b3 = 0 Solving 3a3 + -4b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '4b3' to each side of the equation. 3a3 + -4b3 + 4b3 = 0 + 4b3 Combine like terms: -4b3 + 4b3 = 0 3a3 + 0 = 0 + 4b3 3a3 = 0 + 4b3 Remove the zero: 3a3 = 4b3 Divide each side by '3'. a3 = 1.333333333b3 Simplifying a3 = 1.333333333b3 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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