60=M^2-4M

Solution for 60=M^2-4M equation:

Simplifying
60 = M2 + -4M

Reorder the terms:
60 = -4M + M2

Solving
60 = -4M + M2

Solving for variable 'M'.

Reorder the terms:
60 + 4M + -1M2 = -4M + 4M + M2 + -1M2

Combine like terms: -4M + 4M = 0
60 + 4M + -1M2 = 0 + M2 + -1M2
60 + 4M + -1M2 = M2 + -1M2

Combine like terms: M2 + -1M2 = 0
60 + 4M + -1M2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(6 + M)' equal to zero and attempt to solve:

Simplifying
6 + M = 0

Solving
6 + M = 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 + M = 0 + -6

Combine like terms: 6 + -6 = 0
0 + M = 0 + -6
M = 0 + -6

Combine like terms: 0 + -6 = -6
M = -6

Simplifying
M = -6
Solution
M = {10, -6}