7m^2-76m+60=

Solution for 7m^2-76m+60= equation:

Simplifying
7m2 + -76m + 60 = 0

Reorder the terms:
60 + -76m + 7m2 = 0

Solving
60 + -76m + 7m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(6 + -7m)(10 + -1m) = 0

Subproblem 1
Set the factor '(6 + -7m)' equal to zero and attempt to solve:

Simplifying
6 + -7m = 0

Solving
6 + -7m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7m = 0 + -6
-7m = 0 + -6

Combine like terms: 0 + -6 = -6
-7m = -6

Divide each side by '-7'.
m = 0.8571428571

Simplifying
m = 0.8571428571
Subproblem 2
Set the factor '(10 + -1m)' equal to zero and attempt to solve:

Simplifying
10 + -1m = 0

Solving
10 + -1m = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1m = 0 + -10
-1m = 0 + -10

Combine like terms: 0 + -10 = -10
-1m = -10

Divide each side by '-1'.
m = 10

Simplifying
m = 10
Solution
m = {0.8571428571, 10}