0=2w^2-7w-99

Solution for 0=2w^2-7w-99 equation:

Simplifying
0 = 2w2 + -7w + -99

Reorder the terms:
0 = -99 + -7w + 2w2

Solving
0 = -99 + -7w + 2w2

Solving for variable 'w'.

Combine like terms: 0 + 99 = 99
99 + 7w + -2w2 = -99 + -7w + 2w2 + 99 + 7w + -2w2

Reorder the terms:
99 + 7w + -2w2 = -99 + 99 + -7w + 7w + 2w2 + -2w2

Combine like terms: -99 + 99 = 0
99 + 7w + -2w2 = 0 + -7w + 7w + 2w2 + -2w2
99 + 7w + -2w2 = -7w + 7w + 2w2 + -2w2

Combine like terms: -7w + 7w = 0
99 + 7w + -2w2 = 0 + 2w2 + -2w2
99 + 7w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
99 + 7w + -2w2 = 0

Factor a trinomial.
(9 + -1w)(11 + 2w) = 0

Subproblem 1
Set the factor '(9 + -1w)' equal to zero and attempt to solve:

Simplifying
9 + -1w = 0

Solving
9 + -1w = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1w = 0 + -9
-1w = 0 + -9

Combine like terms: 0 + -9 = -9
-1w = -9

Divide each side by '-1'.
w = 9

Simplifying
w = 9
Subproblem 2
Set the factor '(11 + 2w)' equal to zero and attempt to solve:

Simplifying
11 + 2w = 0

Solving
11 + 2w = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2w = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2w = 0 + -11
2w = 0 + -11

Combine like terms: 0 + -11 = -11
2w = -11

Divide each side by '2'.
w = -5.5

Simplifying
w = -5.5
Solution
w = {9, -5.5}