w^2-8w-180=0

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Solution for w^2-8w-180=0 equation: 


Simplifying
w2 + -8w + -180 = 0

Reorder the terms:
-180 + -8w + w2 = 0

Solving
-180 + -8w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-10 + -1w)(18 + -1w) = 0


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

Simplifying
-10 + -1w = 0

Solving
-10 + -1w = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1w = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1w = 0 + 10
-1w = 0 + 10

Combine like terms: 0 + 10 = 10
-1w = 10

Divide each side by '-1'.
w = -10

Simplifying
w = -10

Subproblem 2
Set the factor '(18 + -1w)' equal to zero and attempt to solve:

Simplifying
18 + -1w = 0

Solving
18 + -1w = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1w = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1w = 0 + -18
-1w = 0 + -18

Combine like terms: 0 + -18 = -18
-1w = -18

Divide each side by '-1'.
w = 18

Simplifying
w = 18
Solution
w = {-10, 18}

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