64a^2b^3-16b^2a^3=0

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Solution for 64a^2b^3-16b^2a^3=0 equation:


Simplifying
64a2b3 + -16b2a3 = 0

Solving
64a2b3 + -16a3b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '16a2b2'.
16a2b2(4b + -1a) = 0

Ignore the factor 16.

Subproblem 1

Set the factor 'a2b2' equal to zero and attempt to solve: Simplifying a2b2 = 0 Solving a2b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b2 = 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 '(4b + -1a)' equal to zero and attempt to solve: Simplifying 4b + -1a = 0 Reorder the terms: -1a + 4b = 0 Solving -1a + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. -1a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 -1a + 0 = 0 + -4b -1a = 0 + -4b Remove the zero: -1a = -4b Divide each side by '-1'. a = 4b Simplifying a = 4b

Solution

a = {4b}

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