w(w+50)=6600

Solution for w(w+50)=6600 equation:

Simplifying
w(w + 50) = 6600

Reorder the terms:
w(50 + w) = 6600
(50 * w + w * w) = 6600
(50w + w2) = 6600

Solving
50w + w2 = 6600

Solving for variable 'w'.

Reorder the terms:
-6600 + 50w + w2 = 6600 + -6600

Combine like terms: 6600 + -6600 = 0
-6600 + 50w + w2 = 0

Factor a trinomial.
(-110 + -1w)(60 + -1w) = 0

Subproblem 1
Set the factor '(-110 + -1w)' equal to zero and attempt to solve:

Simplifying
-110 + -1w = 0

Solving
-110 + -1w = 0

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

Add '110' to each side of the equation.
-110 + 110 + -1w = 0 + 110

Combine like terms: -110 + 110 = 0
0 + -1w = 0 + 110
-1w = 0 + 110

Combine like terms: 0 + 110 = 110
-1w = 110

Divide each side by '-1'.
w = -110

Simplifying
w = -110
Subproblem 2
Set the factor '(60 + -1w)' equal to zero and attempt to solve:

Simplifying
60 + -1w = 0

Solving
60 + -1w = 0

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

Add '-60' to each side of the equation.
60 + -60 + -1w = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1w = 0 + -60
-1w = 0 + -60

Combine like terms: 0 + -60 = -60
-1w = -60

Divide each side by '-1'.
w = 60

Simplifying
w = 60
Solution
w = {-110, 60}