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

Remove parenthesis around (1 + m)
mx2 + 2mx + -1x + 1 + m = 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 'x' to each side of the equation.
m + 2mx + mx2 + -1x + x = -1 + x

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

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

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

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

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

The solution to this equation could not be determined.