W^2+W-30=0

Solution for W^2+W-30=0 equation:

Simplifying
W2 + W + -30 = 0

Reorder the terms:
-30 + W + W2 = 0

Solving
-30 + W + W2 = 0

Solving for variable 'W'.

Factor a trinomial.
(-6 + -1W)(5 + -1W) = 0

Subproblem 1
Set the factor '(-6 + -1W)' equal to zero and attempt to solve:

Simplifying
-6 + -1W = 0

Solving
-6 + -1W = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1W = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1W = 0 + 6
-1W = 0 + 6

Combine like terms: 0 + 6 = 6
-1W = 6

Divide each side by '-1'.
W = -6

Simplifying
W = -6
Subproblem 2
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
Solution
W = {-6, 5}