M^2-2M=-1

Solution for M^2-2M=-1 equation:

Simplifying
M2 + -2M = -1

Reorder the terms:
-2M + M2 = -1

Solving
-2M + M2 = -1

Solving for variable 'M'.

Reorder the terms:
1 + -2M + M2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -2M + M2 = 0

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

Subproblem 1
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
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 = {1, 1}