m^2-2M-1=0

Solution for m^2-2M-1=0 equation:

Simplifying
m2 + -2M + -1 = 0

Reorder the terms:
-1 + -2M + m2 = 0

Solving
-1 + -2M + m2 = 0

Solving for variable 'M'.

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

Add '1' to each side of the equation.
-1 + -2M + 1 + m2 = 0 + 1

Reorder the terms:
-1 + 1 + -2M + m2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2M + m2 = 0 + 1
-2M + m2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2M + m2 = 1

Add '-1m2' to each side of the equation.
-2M + m2 + -1m2 = 1 + -1m2

Combine like terms: m2 + -1m2 = 0
-2M + 0 = 1 + -1m2
-2M = 1 + -1m2

Divide each side by '-2'.
M = -0.5 + 0.5m2

Simplifying
M = -0.5 + 0.5m2