16a^3b^4+24a^2b^2=

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Solution for 16a^3b^4+24a^2b^2= equation:


Simplifying
16a3b4 + 24a2b2 = 0

Reorder the terms:
24a2b2 + 16a3b4 = 0

Solving
24a2b2 + 16a3b4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a2b2'.
8a2b2(3 + 2ab2) = 0

Ignore the factor 8.

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 '(3 + 2ab2)' equal to zero and attempt to solve: Simplifying 3 + 2ab2 = 0 Solving 3 + 2ab2 = 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 + 2ab2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2ab2 = 0 + -3 2ab2 = 0 + -3 Combine like terms: 0 + -3 = -3 2ab2 = -3 Divide each side by '2b2'. a = -1.5b-2 Simplifying a = -1.5b-2

Solution

a = {-1.5b-2}

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