0=2w^2+5w-88

Solution for 0=2w^2+5w-88 equation:

Simplifying
0 = 2w2 + 5w + -88

Reorder the terms:
0 = -88 + 5w + 2w2

Solving
0 = -88 + 5w + 2w2

Solving for variable 'w'.

Combine like terms: 0 + 88 = 88
88 + -5w + -2w2 = -88 + 5w + 2w2 + 88 + -5w + -2w2

Reorder the terms:
88 + -5w + -2w2 = -88 + 88 + 5w + -5w + 2w2 + -2w2

Combine like terms: -88 + 88 = 0
88 + -5w + -2w2 = 0 + 5w + -5w + 2w2 + -2w2
88 + -5w + -2w2 = 5w + -5w + 2w2 + -2w2

Combine like terms: 5w + -5w = 0
88 + -5w + -2w2 = 0 + 2w2 + -2w2
88 + -5w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
88 + -5w + -2w2 = 0

Factor a trinomial.
(11 + -2w)(8 + w) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + w)' equal to zero and attempt to solve:

Simplifying
8 + w = 0

Solving
8 + w = 0

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

Add '-8' to each side of the equation.
8 + -8 + w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + w = 0 + -8
w = 0 + -8

Combine like terms: 0 + -8 = -8
w = -8

Simplifying
w = -8
Solution
w = {5.5, -8}