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

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

Simplifying
mx2 + (2m + 1) * x + m + -1 = 0

Reorder the terms:
mx2 + (1 + 2m) * x + m + -1 = 0

Reorder the terms for easier multiplication:
mx2 + x(1 + 2m) + m + -1 = 0
mx2 + (1 * x + 2m * x) + m + -1 = 0

Reorder the terms:
mx2 + (2mx + 1x) + m + -1 = 0
mx2 + (2mx + 1x) + m + -1 = 0

Reorder the terms:
-1 + m + 2mx + mx2 + 1x = 0

Solving
-1 + m + 2mx + mx2 + 1x = 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 + m + 2mx + mx2 + 1 + 1x = 0 + 1

Reorder the terms:
-1 + 1 + m + 2mx + mx2 + 1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + m + 2mx + mx2 + 1x = 0 + 1
m + 2mx + mx2 + 1x = 0 + 1

Combine like terms: 0 + 1 = 1
m + 2mx + mx2 + 1x = 1

Add '-1x' to each side of the equation.
m + 2mx + mx2 + 1x + -1x = 1 + -1x

Combine like terms: 1x + -1x = 0
m + 2mx + mx2 + 0 = 1 + -1x
m + 2mx + mx2 = 1 + -1x

Reorder the terms:
-1 + m + 2mx + mx2 + x = 1 + -1x + -1 + x

Reorder the terms:
-1 + m + 2mx + mx2 + x = 1 + -1 + -1x + x

Combine like terms: 1 + -1 = 0
-1 + m + 2mx + mx2 + x = 0 + -1x + x
-1 + m + 2mx + mx2 + x = -1x + x

Combine like terms: -1x + x = 0
-1 + m + 2mx + mx2 + x = 0

The solution to this equation could not be determined.