w^2+7w-20580=0

Solution for w^2+7w-20580=0 equation:

Simplifying
w2 + 7w + -20580 = 0

Reorder the terms:
-20580 + 7w + w2 = 0

Solving
-20580 + 7w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-147 + -1w)(140 + -1w) = 0

Subproblem 1
Set the factor '(-147 + -1w)' equal to zero and attempt to solve:

Simplifying
-147 + -1w = 0

Solving
-147 + -1w = 0

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

Add '147' to each side of the equation.
-147 + 147 + -1w = 0 + 147

Combine like terms: -147 + 147 = 0
0 + -1w = 0 + 147
-1w = 0 + 147

Combine like terms: 0 + 147 = 147
-1w = 147

Divide each side by '-1'.
w = -147

Simplifying
w = -147
Subproblem 2
Set the factor '(140 + -1w)' equal to zero and attempt to solve:

Simplifying
140 + -1w = 0

Solving
140 + -1w = 0

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

Add '-140' to each side of the equation.
140 + -140 + -1w = 0 + -140

Combine like terms: 140 + -140 = 0
0 + -1w = 0 + -140
-1w = 0 + -140

Combine like terms: 0 + -140 = -140
-1w = -140

Divide each side by '-1'.
w = 140

Simplifying
w = 140
Solution
w = {-147, 140}