3ay(a+2y)2=

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Solution for 3ay(a+2y)2= equation:


Simplifying
3ay(a + 2y) * 2 = 0

Reorder the terms for easier multiplication:
3 * 2ay(a + 2y) = 0

Multiply 3 * 2
6ay(a + 2y) = 0
(a * 6ay + 2y * 6ay) = 0

Reorder the terms:
(12ay2 + 6a2y) = 0
(12ay2 + 6a2y) = 0

Solving
12ay2 + 6a2y = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6ay'.
6ay(2y + a) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'ay' equal to zero and attempt to solve: Simplifying ay = 0 Solving ay = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ay = 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 '(2y + a)' equal to zero and attempt to solve: Simplifying 2y + a = 0 Reorder the terms: a + 2y = 0 Solving a + 2y = 0 Move all terms containing a to the left, all other terms to the right. Add '-2y' to each side of the equation. a + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 a + 0 = 0 + -2y a = 0 + -2y Remove the zero: a = -2y Simplifying a = -2y

Solution

a = {-2y}

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