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

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

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

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

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

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

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

Remove parenthesis around (-1 + 2m)
x2 + -1mx + -1x + -1 + 2m = 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.