50=(3w-5)*w

Solution for 50=(3w-5)*w equation:

Simplifying
50 = (3w + -5) * w

Reorder the terms:
50 = (-5 + 3w) * w

Reorder the terms for easier multiplication:
50 = w(-5 + 3w)
50 = (-5 * w + 3w * w)
50 = (-5w + 3w2)

Solving
50 = -5w + 3w2

Solving for variable 'w'.

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

Combine like terms: -5w + 5w = 0
50 + 5w + -3w2 = 0 + 3w2 + -3w2
50 + 5w + -3w2 = 3w2 + -3w2

Combine like terms: 3w2 + -3w2 = 0
50 + 5w + -3w2 = 0

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}