w^2+18wz+80z^2=

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Solution for w^2+18wz+80z^2= equation: 


Simplifying
w2 + 18wz + 80z2 = 0

Reorder the terms:
18wz + w2 + 80z2 = 0

Solving
18wz + w2 + 80z2 = 0

Solving for variable 'w'.

Factor a trinomial.
(w + 8z)(w + 10z) = 0


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

Simplifying
w + 8z = 0

Solving
w + 8z = 0

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

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

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

Simplifying
w = -8z

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

Simplifying
w + 10z = 0

Solving
w + 10z = 0

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

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

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

Simplifying
w = -10z
Solution
w = {-8z, -10z}

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