w^2+5w-644=0

Solution for w^2+5w-644=0 equation:

Simplifying
w2 + 5w + -644 = 0

Reorder the terms:
-644 + 5w + w2 = 0

Solving
-644 + 5w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-28 + -1w)(23 + -1w) = 0

Subproblem 1
Set the factor '(-28 + -1w)' equal to zero and attempt to solve:

Simplifying
-28 + -1w = 0

Solving
-28 + -1w = 0

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

Add '28' to each side of the equation.
-28 + 28 + -1w = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -1w = 0 + 28
-1w = 0 + 28

Combine like terms: 0 + 28 = 28
-1w = 28

Divide each side by '-1'.
w = -28

Simplifying
w = -28
Subproblem 2
Set the factor '(23 + -1w)' equal to zero and attempt to solve:

Simplifying
23 + -1w = 0

Solving
23 + -1w = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1w = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1w = 0 + -23
-1w = 0 + -23

Combine like terms: 0 + -23 = -23
-1w = -23

Divide each side by '-1'.
w = 23

Simplifying
w = 23
Solution
w = {-28, 23}