2w^2+15w-468=0

Solution for 2w^2+15w-468=0 equation:

Simplifying
2w2 + 15w + -468 = 0

Reorder the terms:
-468 + 15w + 2w2 = 0

Solving
-468 + 15w + 2w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-39 + -2w)(12 + -1w) = 0

Subproblem 1
Set the factor '(-39 + -2w)' equal to zero and attempt to solve:

Simplifying
-39 + -2w = 0

Solving
-39 + -2w = 0

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

Add '39' to each side of the equation.
-39 + 39 + -2w = 0 + 39

Combine like terms: -39 + 39 = 0
0 + -2w = 0 + 39
-2w = 0 + 39

Combine like terms: 0 + 39 = 39
-2w = 39

Divide each side by '-2'.
w = -19.5

Simplifying
w = -19.5
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 = {-19.5, 12}