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

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

Simplifying
mx + (m + -1) * x + m = 0

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

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

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

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

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

Solving
m + 2mx + -1x = 0

Solving for variable 'm'.

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

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

Combine like terms: -1x + x = 0
m + 2mx + 0 = 0 + x
m + 2mx = 0 + x
Remove the zero:
m + 2mx = x

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

The solution to this equation could not be determined.