ay^2-2a^2y=0

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Solution for ay^2-2a^2y=0 equation: 


Simplifying
ay2 + -2a2y = 0

Solving
ay2 + -2a2y = 0

Solving for variable 'a'.

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


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 '(y + -2a)' equal to zero and attempt to solve:

Simplifying
y + -2a = 0

Reorder the terms:
-2a + y = 0

Solving
-2a + y = 0

Move all terms containing a to the left, all other terms to the right.

Add '-1y' to each side of the equation.
-2a + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-2a + 0 = 0 + -1y
-2a = 0 + -1y
Remove the zero:
-2a = -1y

Divide each side by '-2'.
a = 0.5y

Simplifying
a = 0.5y
Solution
a = {0.5y}

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