w^2-3w-2350=0

Solution for w^2-3w-2350=0 equation:

Simplifying
w2 + -3w + -2350 = 0

Reorder the terms:
-2350 + -3w + w2 = 0

Solving
-2350 + -3w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-47 + -1w)(50 + -1w) = 0

Subproblem 1
Set the factor '(-47 + -1w)' equal to zero and attempt to solve:

Simplifying
-47 + -1w = 0

Solving
-47 + -1w = 0

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

Add '47' to each side of the equation.
-47 + 47 + -1w = 0 + 47

Combine like terms: -47 + 47 = 0
0 + -1w = 0 + 47
-1w = 0 + 47

Combine like terms: 0 + 47 = 47
-1w = 47

Divide each side by '-1'.
w = -47

Simplifying
w = -47
Subproblem 2
Set the factor '(50 + -1w)' equal to zero and attempt to solve:

Simplifying
50 + -1w = 0

Solving
50 + -1w = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1w = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1w = 0 + -50
-1w = 0 + -50

Combine like terms: 0 + -50 = -50
-1w = -50

Divide each side by '-1'.
w = 50

Simplifying
w = 50
Solution
w = {-47, 50}