w^2+20w-525=0

Solution for w^2+20w-525=0 equation:

Simplifying
w2 + 20w + -525 = 0

Reorder the terms:
-525 + 20w + w2 = 0

Solving
-525 + 20w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-35 + -1w)(15 + -1w) = 0

Subproblem 1
Set the factor '(-35 + -1w)' equal to zero and attempt to solve:

Simplifying
-35 + -1w = 0

Solving
-35 + -1w = 0

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

Add '35' to each side of the equation.
-35 + 35 + -1w = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -1w = 0 + 35
-1w = 0 + 35

Combine like terms: 0 + 35 = 35
-1w = 35

Divide each side by '-1'.
w = -35

Simplifying
w = -35
Subproblem 2
Set the factor '(15 + -1w)' equal to zero and attempt to solve:

Simplifying
15 + -1w = 0

Solving
15 + -1w = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1w = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1w = 0 + -15
-1w = 0 + -15

Combine like terms: 0 + -15 = -15
-1w = -15

Divide each side by '-1'.
w = 15

Simplifying
w = 15
Solution
w = {-35, 15}