60=w^2+4w

Solution for 60=w^2+4w equation:

Simplifying
60 = w2 + 4w

Reorder the terms:
60 = 4w + w2

Solving
60 = 4w + w2

Solving for variable 'w'.

Reorder the terms:
60 + -4w + -1w2 = 4w + -4w + w2 + -1w2

Combine like terms: 4w + -4w = 0
60 + -4w + -1w2 = 0 + w2 + -1w2
60 + -4w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
60 + -4w + -1w2 = 0

Factor a trinomial.
(6 + -1w)(10 + w) = 0

Subproblem 1
Set the factor '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Subproblem 2
Set the factor '(10 + w)' equal to zero and attempt to solve:

Simplifying
10 + w = 0

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

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

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

Simplifying
w = -10
Solution
w = {6, -10}