300=w(w+5)

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

Simplifying
300 = w(w + 5)

Reorder the terms:
300 = w(5 + w)
300 = (5 * w + w * w)
300 = (5w + w2)

Solving
300 = 5w + w2

Solving for variable 'w'.

Reorder the terms:
300 + -5w + -1w2 = 5w + -5w + w2 + -1w2

Combine like terms: 5w + -5w = 0
300 + -5w + -1w2 = 0 + w2 + -1w2
300 + -5w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
300 + -5w + -1w2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(20 + w)' equal to zero and attempt to solve:

Simplifying
20 + w = 0

Solving
20 + w = 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 + w = 0 + -20

Combine like terms: 20 + -20 = 0
0 + w = 0 + -20
w = 0 + -20

Combine like terms: 0 + -20 = -20
w = -20

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