2w^2+3w-377=0

Solution for 2w^2+3w-377=0 equation:

Simplifying
2w2 + 3w + -377 = 0

Reorder the terms:
-377 + 3w + 2w2 = 0

Solving
-377 + 3w + 2w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-29 + -2w)(13 + -1w) = 0

Subproblem 1
Set the factor '(-29 + -2w)' equal to zero and attempt to solve:

Simplifying
-29 + -2w = 0

Solving
-29 + -2w = 0

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

Add '29' to each side of the equation.
-29 + 29 + -2w = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -2w = 0 + 29
-2w = 0 + 29

Combine like terms: 0 + 29 = 29
-2w = 29

Divide each side by '-2'.
w = -14.5

Simplifying
w = -14.5
Subproblem 2
Set the factor '(13 + -1w)' equal to zero and attempt to solve:

Simplifying
13 + -1w = 0

Solving
13 + -1w = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1w = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1w = 0 + -13
-1w = 0 + -13

Combine like terms: 0 + -13 = -13
-1w = -13

Divide each side by '-1'.
w = 13

Simplifying
w = 13
Solution
w = {-14.5, 13}