3w^2+5w-50=0

Solution for 3w^2+5w-50=0 equation:

Simplifying
3w2 + 5w + -50 = 0

Reorder the terms:
-50 + 5w + 3w2 = 0

Solving
-50 + 5w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5 + -1w)(10 + -3w) = 0

Subproblem 1
Set the factor '(-5 + -1w)' equal to zero and attempt to solve:

Simplifying
-5 + -1w = 0

Solving
-5 + -1w = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1w = 0 + 5
-1w = 0 + 5

Combine like terms: 0 + 5 = 5
-1w = 5

Divide each side by '-1'.
w = -5

Simplifying
w = -5
Subproblem 2
Set the factor '(10 + -3w)' equal to zero and attempt to solve:

Simplifying
10 + -3w = 0

Solving
10 + -3w = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3w = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3w = 0 + -10
-3w = 0 + -10

Combine like terms: 0 + -10 = -10
-3w = -10

Divide each side by '-3'.
w = 3.333333333

Simplifying
w = 3.333333333
Solution
w = {-5, 3.333333333}