w^2+10w-600=0

Solution for w^2+10w-600=0 equation:

Simplifying
w2 + 10w + -600 = 0

Reorder the terms:
-600 + 10w + w2 = 0

Solving
-600 + 10w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-30 + -1w)(20 + -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 '(20 + -1w)' equal to zero and attempt to solve:

Simplifying
20 + -1w = 0

Solving
20 + -1w = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1w = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1w = 0 + -20
-1w = 0 + -20

Combine like terms: 0 + -20 = -20
-1w = -20

Divide each side by '-1'.
w = 20

Simplifying
w = 20
Solution
w = {-30, 20}