w^2-2wy-48y^2=0

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Solution for w^2-2wy-48y^2=0 equation: 


Simplifying
w2 + -2wy + -48y2 = 0

Reorder the terms:
-2wy + w2 + -48y2 = 0

Solving
-2wy + w2 + -48y2 = 0

Solving for variable 'w'.

Factor a trinomial.
(w + -8y)(w + 6y) = 0


Subproblem 1
Set the factor '(w + -8y)' equal to zero and attempt to solve:

Simplifying
w + -8y = 0

Solving
w + -8y = 0

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

Add '8y' to each side of the equation.
w + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
w + 0 = 0 + 8y
w = 0 + 8y
Remove the zero:
w = 8y

Simplifying
w = 8y

Subproblem 2
Set the factor '(w + 6y)' equal to zero and attempt to solve:

Simplifying
w + 6y = 0

Solving
w + 6y = 0

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

Add '-6y' to each side of the equation.
w + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
w + 0 = 0 + -6y
w = 0 + -6y
Remove the zero:
w = -6y

Simplifying
w = -6y
Solution
w = {8y, -6y}

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