0=2w^2+6w-360

Solution for 0=2w^2+6w-360 equation:

Simplifying
0 = 2w2 + 6w + -360

Reorder the terms:
0 = -360 + 6w + 2w2

Solving
0 = -360 + 6w + 2w2

Solving for variable 'w'.

Combine like terms: 0 + 360 = 360
360 + -6w + -2w2 = -360 + 6w + 2w2 + 360 + -6w + -2w2

Reorder the terms:
360 + -6w + -2w2 = -360 + 360 + 6w + -6w + 2w2 + -2w2

Combine like terms: -360 + 360 = 0
360 + -6w + -2w2 = 0 + 6w + -6w + 2w2 + -2w2
360 + -6w + -2w2 = 6w + -6w + 2w2 + -2w2

Combine like terms: 6w + -6w = 0
360 + -6w + -2w2 = 0 + 2w2 + -2w2
360 + -6w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
360 + -6w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(180 + -3w + -1w2) = 0

Factor a trinomial.
2((12 + -1w)(15 + w)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(15 + w)' equal to zero and attempt to solve:

Simplifying
15 + w = 0

Solving
15 + w = 0

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

Add '-15' to each side of the equation.
15 + -15 + w = 0 + -15

Combine like terms: 15 + -15 = 0
0 + w = 0 + -15
w = 0 + -15

Combine like terms: 0 + -15 = -15
w = -15

Simplifying
w = -15
Solution
w = {12, -15}