w^2-8wx-20x^2=

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Solution for w^2-8wx-20x^2= equation: 


Simplifying
w2 + -8wx + -20x2 = 0

Reorder the terms:
-8wx + w2 + -20x2 = 0

Solving
-8wx + w2 + -20x2 = 0

Solving for variable 'w'.

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


Subproblem 1
Set the factor '(w + -10x)' equal to zero and attempt to solve:

Simplifying
w + -10x = 0

Solving
w + -10x = 0

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

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

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

Simplifying
w = 10x

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

Simplifying
w + 2x = 0

Solving
w + 2x = 0

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

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

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

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

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