M^2+11M-2=10

Solution for M^2+11M-2=10 equation:

Simplifying
M2 + 11M + -2 = 10

Reorder the terms:
-2 + 11M + M2 = 10

Solving
-2 + 11M + M2 = 10

Solving for variable 'M'.

Reorder the terms:
-2 + -10 + 11M + M2 = 10 + -10

Combine like terms: -2 + -10 = -12
-12 + 11M + M2 = 10 + -10

Combine like terms: 10 + -10 = 0
-12 + 11M + M2 = 0

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

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

Simplifying
1 + -1M = 0

Solving
1 + -1M = 0

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

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

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

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

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

Simplifying
M = 1
Solution
M = {-12, 1}