4ab^2(a^2+9a)=

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Solution for 4ab^2(a^2+9a)= equation:


Simplifying
4ab2(a2 + 9a) = 0

Reorder the terms:
4ab2(9a + a2) = 0
(9a * 4ab2 + a2 * 4ab2) = 0
(36a2b2 + 4a3b2) = 0

Solving
36a2b2 + 4a3b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a2b2'.
4a2b2(9 + a) = 0

Ignore the factor 4.

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 '(9 + a)' equal to zero and attempt to solve: Simplifying 9 + a = 0 Solving 9 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a = 0 + -9 a = 0 + -9 Combine like terms: 0 + -9 = -9 a = -9 Simplifying a = -9

Solution

a = {-9}

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