12a^5b^2+16a^4b=0

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Solution for 12a^5b^2+16a^4b=0 equation:


Simplifying
12a5b2 + 16a4b = 0

Reorder the terms:
16a4b + 12a5b2 = 0

Solving
16a4b + 12a5b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a4b'.
4a4b(4 + 3ab) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'a4b' equal to zero and attempt to solve: Simplifying a4b = 0 Solving a4b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a4b = 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 '(4 + 3ab)' equal to zero and attempt to solve: Simplifying 4 + 3ab = 0 Solving 4 + 3ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3ab = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3ab = 0 + -4 3ab = 0 + -4 Combine like terms: 0 + -4 = -4 3ab = -4 Divide each side by '3b'. a = -1.333333333b-1 Simplifying a = -1.333333333b-1

Solution

a = {-1.333333333b-1}

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