0=8w^2+15w-2

Solution for 0=8w^2+15w-2 equation:

Simplifying
0 = 8w2 + 15w + -2

Reorder the terms:
0 = -2 + 15w + 8w2

Solving
0 = -2 + 15w + 8w2

Solving for variable 'w'.

Combine like terms: 0 + 2 = 2
2 + -15w + -8w2 = -2 + 15w + 8w2 + 2 + -15w + -8w2

Reorder the terms:
2 + -15w + -8w2 = -2 + 2 + 15w + -15w + 8w2 + -8w2

Combine like terms: -2 + 2 = 0
2 + -15w + -8w2 = 0 + 15w + -15w + 8w2 + -8w2
2 + -15w + -8w2 = 15w + -15w + 8w2 + -8w2

Combine like terms: 15w + -15w = 0
2 + -15w + -8w2 = 0 + 8w2 + -8w2
2 + -15w + -8w2 = 8w2 + -8w2

Combine like terms: 8w2 + -8w2 = 0
2 + -15w + -8w2 = 0

Factor a trinomial.
(1 + -8w)(2 + w) = 0

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

Simplifying
1 + -8w = 0

Solving
1 + -8w = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8w = 0 + -1
-8w = 0 + -1

Combine like terms: 0 + -1 = -1
-8w = -1

Divide each side by '-8'.
w = 0.125

Simplifying
w = 0.125
Subproblem 2
Set the factor '(2 + w)' equal to zero and attempt to solve:

Simplifying
2 + w = 0

Solving
2 + w = 0

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

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

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

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

Simplifying
w = -2
Solution
w = {0.125, -2}