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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.