w^2+8wy-20y^2=

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Solution for w^2+8wy-20y^2= equation: 


Simplifying
w2 + 8wy + -20y2 = 0

Reorder the terms:
8wy + w2 + -20y2 = 0

Solving
8wy + w2 + -20y2 = 0

Solving for variable 'w'.

Factor a trinomial.
(w + -2y)(w + 10y) = 0


Subproblem 1
Set the factor '(w + -2y)' equal to zero and attempt to solve:

Simplifying
w + -2y = 0

Solving
w + -2y = 0

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

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

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

Simplifying
w = 2y

Subproblem 2
Set the factor '(w + 10y)' equal to zero and attempt to solve:

Simplifying
w + 10y = 0

Solving
w + 10y = 0

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

Add '-10y' to each side of the equation.
w + 10y + -10y = 0 + -10y

Combine like terms: 10y + -10y = 0
w + 0 = 0 + -10y
w = 0 + -10y
Remove the zero:
w = -10y

Simplifying
w = -10y
Solution
w = {2y, -10y}

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