w(w+50)=21279

Solution for w(w+50)=21279 equation:

Simplifying
w(w + 50) = 21279

Reorder the terms:
w(50 + w) = 21279
(50 * w + w * w) = 21279
(50w + w2) = 21279

Solving
50w + w2 = 21279

Solving for variable 'w'.

Reorder the terms:
-21279 + 50w + w2 = 21279 + -21279

Combine like terms: 21279 + -21279 = 0
-21279 + 50w + w2 = 0

Factor a trinomial.
(-173 + -1w)(123 + -1w) = 0

Subproblem 1
Set the factor '(-173 + -1w)' equal to zero and attempt to solve:

Simplifying
-173 + -1w = 0

Solving
-173 + -1w = 0

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

Add '173' to each side of the equation.
-173 + 173 + -1w = 0 + 173

Combine like terms: -173 + 173 = 0
0 + -1w = 0 + 173
-1w = 0 + 173

Combine like terms: 0 + 173 = 173
-1w = 173

Divide each side by '-1'.
w = -173

Simplifying
w = -173
Subproblem 2
Set the factor '(123 + -1w)' equal to zero and attempt to solve:

Simplifying
123 + -1w = 0

Solving
123 + -1w = 0

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

Add '-123' to each side of the equation.
123 + -123 + -1w = 0 + -123

Combine like terms: 123 + -123 = 0
0 + -1w = 0 + -123
-1w = 0 + -123

Combine like terms: 0 + -123 = -123
-1w = -123

Divide each side by '-1'.
w = 123

Simplifying
w = 123
Solution
w = {-173, 123}