60=w^2-7w

Solution for 60=w^2-7w equation:

Simplifying
60 = w2 + -7w

Reorder the terms:
60 = -7w + w2

Solving
60 = -7w + w2

Solving for variable 'w'.

Reorder the terms:
60 + 7w + -1w2 = -7w + 7w + w2 + -1w2

Combine like terms: -7w + 7w = 0
60 + 7w + -1w2 = 0 + w2 + -1w2
60 + 7w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
60 + 7w + -1w2 = 0

Factor a trinomial.
(12 + -1w)(5 + w) = 0

Subproblem 1
Set the factor '(12 + -1w)' equal to zero and attempt to solve:

Simplifying
12 + -1w = 0

Solving
12 + -1w = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1w = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1w = 0 + -12
-1w = 0 + -12

Combine like terms: 0 + -12 = -12
-1w = -12

Divide each side by '-1'.
w = 12

Simplifying
w = 12
Subproblem 2
Set the factor '(5 + w)' equal to zero and attempt to solve:

Simplifying
5 + w = 0

Solving
5 + w = 0

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

Add '-5' to each side of the equation.
5 + -5 + w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + w = 0 + -5
w = 0 + -5

Combine like terms: 0 + -5 = -5
w = -5

Simplifying
w = -5
Solution
w = {12, -5}