w^2+20w-300=0

Solution for w^2+20w-300=0 equation:

Simplifying
w2 + 20w + -300 = 0

Reorder the terms:
-300 + 20w + w2 = 0

Solving
-300 + 20w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-30 + -1w)(10 + -1w) = 0

Subproblem 1
Set the factor '(-30 + -1w)' equal to zero and attempt to solve:

Simplifying
-30 + -1w = 0

Solving
-30 + -1w = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1w = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1w = 0 + 30
-1w = 0 + 30

Combine like terms: 0 + 30 = 30
-1w = 30

Divide each side by '-1'.
w = -30

Simplifying
w = -30
Subproblem 2
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
Solution
w = {-30, 10}