y(y-7)=60

Solution for y(y-7)=60 equation:

Simplifying
y(y + -7) = 60

Reorder the terms:
y(-7 + y) = 60
(-7 * y + y * y) = 60
(-7y + y2) = 60

Solving
-7y + y2 = 60

Solving for variable 'y'.

Reorder the terms:
-60 + -7y + y2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + -7y + y2 = 0

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

Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve:

Simplifying
-5 + -1y = 0

Solving
-5 + -1y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1y = 0 + 5
-1y = 0 + 5

Combine like terms: 0 + 5 = 5
-1y = 5

Divide each side by '-1'.
y = -5

Simplifying
y = -5
Subproblem 2
Set the factor '(12 + -1y)' equal to zero and attempt to solve:

Simplifying
12 + -1y = 0

Solving
12 + -1y = 0

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

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

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

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

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

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