w^2+5w-594=0

Solution for w^2+5w-594=0 equation:

Simplifying
w2 + 5w + -594 = 0

Reorder the terms:
-594 + 5w + w2 = 0

Solving
-594 + 5w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-27 + -1w)(22 + -1w) = 0

Subproblem 1
Set the factor '(-27 + -1w)' equal to zero and attempt to solve:

Simplifying
-27 + -1w = 0

Solving
-27 + -1w = 0

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

Add '27' to each side of the equation.
-27 + 27 + -1w = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -1w = 0 + 27
-1w = 0 + 27

Combine like terms: 0 + 27 = 27
-1w = 27

Divide each side by '-1'.
w = -27

Simplifying
w = -27
Subproblem 2
Set the factor '(22 + -1w)' equal to zero and attempt to solve:

Simplifying
22 + -1w = 0

Solving
22 + -1w = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1w = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1w = 0 + -22
-1w = 0 + -22

Combine like terms: 0 + -22 = -22
-1w = -22

Divide each side by '-1'.
w = 22

Simplifying
w = 22
Solution
w = {-27, 22}