w^2-50w-275=0

Solution for w^2-50w-275=0 equation:

Simplifying
w2 + -50w + -275 = 0

Reorder the terms:
-275 + -50w + w2 = 0

Solving
-275 + -50w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5 + -1w)(55 + -1w) = 0

Subproblem 1
Set the factor '(-5 + -1w)' equal to zero and attempt to solve:

Simplifying
-5 + -1w = 0

Solving
-5 + -1w = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1w = 0 + 5
-1w = 0 + 5

Combine like terms: 0 + 5 = 5
-1w = 5

Divide each side by '-1'.
w = -5

Simplifying
w = -5
Subproblem 2
Set the factor '(55 + -1w)' equal to zero and attempt to solve:

Simplifying
55 + -1w = 0

Solving
55 + -1w = 0

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

Add '-55' to each side of the equation.
55 + -55 + -1w = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -1w = 0 + -55
-1w = 0 + -55

Combine like terms: 0 + -55 = -55
-1w = -55

Divide each side by '-1'.
w = 55

Simplifying
w = 55
Solution
w = {-5, 55}