50=w(w-5)

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

Simplifying
50 = w(w + -5)

Reorder the terms:
50 = w(-5 + w)
50 = (-5 * w + w * w)
50 = (-5w + w2)

Solving
50 = -5w + w2

Solving for variable 'w'.

Reorder the terms:
50 + 5w + -1w2 = -5w + 5w + w2 + -1w2

Combine like terms: -5w + 5w = 0
50 + 5w + -1w2 = 0 + w2 + -1w2
50 + 5w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
50 + 5w + -1w2 = 0

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

Subproblem 1
Set the factor '(10 + -1w)' equal to zero and attempt to solve:

Simplifying
10 + -1w = 0

Solving
10 + -1w = 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 + -1w = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1w = 0 + -10
-1w = 0 + -10

Combine like terms: 0 + -10 = -10
-1w = -10

Divide each side by '-1'.
w = 10

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

Simplifying
5 + w = 0

Solving
5 + w = 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 + w = 0 + -5

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

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

Simplifying
w = -5
Solution
w = {10, -5}