W(W+5)=300

Solution for W(W+5)=300 equation:

Simplifying
W(W + 5) = 300

Reorder the terms:
W(5 + W) = 300
(5 * W + W * W) = 300
(5W + W2) = 300

Solving
5W + W2 = 300

Solving for variable 'W'.

Reorder the terms:
-300 + 5W + W2 = 300 + -300

Combine like terms: 300 + -300 = 0
-300 + 5W + W2 = 0

Factor a trinomial.
(-20 + -1W)(15 + -1W) = 0

Subproblem 1
Set the factor '(-20 + -1W)' equal to zero and attempt to solve:

Simplifying
-20 + -1W = 0

Solving
-20 + -1W = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1W = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1W = 0 + 20
-1W = 0 + 20

Combine like terms: 0 + 20 = 20
-1W = 20

Divide each side by '-1'.
W = -20

Simplifying
W = -20
Subproblem 2
Set the factor '(15 + -1W)' equal to zero and attempt to solve:

Simplifying
15 + -1W = 0

Solving
15 + -1W = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1W = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1W = 0 + -15
-1W = 0 + -15

Combine like terms: 0 + -15 = -15
-1W = -15

Divide each side by '-1'.
W = 15

Simplifying
W = 15
Solution
W = {-20, 15}