m^2=60+4m

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

Simplifying
m2 = 60 + 4m

Solving
m2 = 60 + 4m

Solving for variable 'm'.

Reorder the terms:
-60 + -4m + m2 = 60 + 4m + -60 + -4m

Reorder the terms:
-60 + -4m + m2 = 60 + -60 + 4m + -4m

Combine like terms: 60 + -60 = 0
-60 + -4m + m2 = 0 + 4m + -4m
-60 + -4m + m2 = 4m + -4m

Combine like terms: 4m + -4m = 0
-60 + -4m + m2 = 0

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

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

Simplifying
-6 + -1m = 0

Solving
-6 + -1m = 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 + -1m = 0 + 6

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

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

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

Simplifying
m = -6
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 = {-6, 10}