M^2-7M-30=0

Solution for M^2-7M-30=0 equation:

Simplifying
M2 + -7M + -30 = 0

Reorder the terms:
-30 + -7M + M2 = 0

Solving
-30 + -7M + M2 = 0

Solving for variable 'M'.

Factor a trinomial.
(-3 + -1M)(10 + -1M) = 0

Subproblem 1
Set the factor '(-3 + -1M)' equal to zero and attempt to solve:

Simplifying
-3 + -1M = 0

Solving
-3 + -1M = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1M = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1M = 0 + 3
-1M = 0 + 3

Combine like terms: 0 + 3 = 3
-1M = 3

Divide each side by '-1'.
M = -3

Simplifying
M = -3
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 = {-3, 10}