x^2+(m-1)x+m-2=0

Solution for x^2+(m-1)x+m-2=0 equation:

Simplifying
x2 + (m + -1) * x + m + -2 = 0

Reorder the terms:
x2 + (-1 + m) * x + m + -2 = 0

Reorder the terms for easier multiplication:
x2 + x(-1 + m) + m + -2 = 0
x2 + (-1 * x + m * x) + m + -2 = 0

Reorder the terms:
x2 + (mx + -1x) + m + -2 = 0
x2 + (mx + -1x) + m + -2 = 0

Reorder the terms:
-2 + m + mx + -1x + x2 = 0

Solving
-2 + m + mx + -1x + x2 = 0

Solving for variable 'm'.

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

Add '2' to each side of the equation.
-2 + m + mx + -1x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + m + mx + -1x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + m + mx + -1x + x2 = 0 + 2
m + mx + -1x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
m + mx + -1x + x2 = 2

Add 'x' to each side of the equation.
m + mx + -1x + x + x2 = 2 + x

Combine like terms: -1x + x = 0
m + mx + 0 + x2 = 2 + x
m + mx + x2 = 2 + x

Add '-1x2' to each side of the equation.
m + mx + x2 + -1x2 = 2 + x + -1x2

Combine like terms: x2 + -1x2 = 0
m + mx + 0 = 2 + x + -1x2
m + mx = 2 + x + -1x2

Reorder the terms:
-2 + m + mx + -1x + x2 = 2 + x + -1x2 + -2 + -1x + x2

Reorder the terms:
-2 + m + mx + -1x + x2 = 2 + -2 + x + -1x + -1x2 + x2

Combine like terms: 2 + -2 = 0
-2 + m + mx + -1x + x2 = 0 + x + -1x + -1x2 + x2
-2 + m + mx + -1x + x2 = x + -1x + -1x2 + x2

Combine like terms: x + -1x = 0
-2 + m + mx + -1x + x2 = 0 + -1x2 + x2
-2 + m + mx + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-2 + m + mx + -1x + x2 = 0

The solution to this equation could not be determined.