4a^3b^3-16a^2b^4=0

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Solution for 4a^3b^3-16a^2b^4=0 equation:


Simplifying
4a3b3 + -16a2b4 = 0

Reorder the terms:
-16a2b4 + 4a3b3 = 0

Solving
-16a2b4 + 4a3b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a2b3'.
4a2b3(-4b + a) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'a2b3' equal to zero and attempt to solve: Simplifying a2b3 = 0 Solving a2b3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b3 = 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 + a)' equal to zero and attempt to solve: Simplifying -4b + a = 0 Reorder the terms: a + -4b = 0 Solving a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 a + 0 = 0 + 4b a = 0 + 4b Remove the zero: a = 4b Simplifying a = 4b

Solution

a = {4b}

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