0=w^2+5w-150

Solution for 0=w^2+5w-150 equation:

Simplifying
0 = w2 + 5w + -150

Reorder the terms:
0 = -150 + 5w + w2

Solving
0 = -150 + 5w + w2

Solving for variable 'w'.

Combine like terms: 0 + 150 = 150
150 + -5w + -1w2 = -150 + 5w + w2 + 150 + -5w + -1w2

Reorder the terms:
150 + -5w + -1w2 = -150 + 150 + 5w + -5w + w2 + -1w2

Combine like terms: -150 + 150 = 0
150 + -5w + -1w2 = 0 + 5w + -5w + w2 + -1w2
150 + -5w + -1w2 = 5w + -5w + w2 + -1w2

Combine like terms: 5w + -5w = 0
150 + -5w + -1w2 = 0 + w2 + -1w2
150 + -5w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
150 + -5w + -1w2 = 0

Factor a trinomial.
(10 + -1w)(15 + w) = 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 '(15 + w)' equal to zero and attempt to solve:

Simplifying
15 + w = 0

Solving
15 + w = 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 + w = 0 + -15

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

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

Simplifying
w = -15
Solution
w = {10, -15}