m(m-7)=60

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

Simplifying
m(m + -7) = 60

Reorder the terms:
m(-7 + m) = 60
(-7 * m + m * m) = 60
(-7m + m2) = 60

Solving
-7m + m2 = 60

Solving for variable 'm'.

Reorder the terms:
-60 + -7m + m2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + -7m + m2 = 0

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

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

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 0

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

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

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

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

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

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

Simplifying
12 + -1m = 0

Solving
12 + -1m = 0

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

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

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

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

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

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