w^2+10w-264=0

Solution for w^2+10w-264=0 equation:

Simplifying
w2 + 10w + -264 = 0

Reorder the terms:
-264 + 10w + w2 = 0

Solving
-264 + 10w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-22 + -1w)(12 + -1w) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(12 + -1w)' equal to zero and attempt to solve:

Simplifying
12 + -1w = 0

Solving
12 + -1w = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1w = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1w = 0 + -12
-1w = 0 + -12

Combine like terms: 0 + -12 = -12
-1w = -12

Divide each side by '-1'.
w = 12

Simplifying
w = 12
Solution
w = {-22, 12}