a^2-ay-20y^2=0

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Solution for a^2-ay-20y^2=0 equation: 


Simplifying
a2 + -1ay + -20y2 = 0

Reorder the terms:
-1ay + a2 + -20y2 = 0

Solving
-1ay + a2 + -20y2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -5y)(a + 4y) = 0


Subproblem 1
Set the factor '(a + -5y)' equal to zero and attempt to solve:

Simplifying
a + -5y = 0

Solving
a + -5y = 0

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

Add '5y' to each side of the equation.
a + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
a + 0 = 0 + 5y
a = 0 + 5y
Remove the zero:
a = 5y

Simplifying
a = 5y

Subproblem 2
Set the factor '(a + 4y)' equal to zero and attempt to solve:

Simplifying
a + 4y = 0

Solving
a + 4y = 0

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

Add '-4y' to each side of the equation.
a + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
a + 0 = 0 + -4y
a = 0 + -4y
Remove the zero:
a = -4y

Simplifying
a = -4y
Solution
a = {5y, -4y}

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