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

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

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

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

Reorder the terms:
(-1mx2 + 1x2) + (m + -1) * x + -1 = 0
(-1mx2 + 1x2) + (m + -1) * x + -1 = 0

Reorder the terms:
-1mx2 + 1x2 + (-1 + m) * x + -1 = 0

Reorder the terms for easier multiplication:
-1mx2 + 1x2 + x(-1 + m) + -1 = 0
-1mx2 + 1x2 + (-1 * x + m * x) + -1 = 0

Reorder the terms:
-1mx2 + 1x2 + (mx + -1x) + -1 = 0
-1mx2 + 1x2 + (mx + -1x) + -1 = 0

Reorder the terms:
-1 + mx + -1mx2 + -1x + 1x2 = 0

Solving
-1 + mx + -1mx2 + -1x + 1x2 = 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 + mx + -1mx2 + -1x + 1 + 1x2 = 0 + 1

Reorder the terms:
-1 + 1 + mx + -1mx2 + -1x + 1x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + mx + -1mx2 + -1x + 1x2 = 0 + 1
mx + -1mx2 + -1x + 1x2 = 0 + 1

Combine like terms: 0 + 1 = 1
mx + -1mx2 + -1x + 1x2 = 1

Add 'x' to each side of the equation.
mx + -1mx2 + -1x + x + 1x2 = 1 + x

Combine like terms: -1x + x = 0
mx + -1mx2 + 0 + 1x2 = 1 + x
mx + -1mx2 + 1x2 = 1 + x

Add '-1x2' to each side of the equation.
mx + -1mx2 + 1x2 + -1x2 = 1 + x + -1x2

Combine like terms: 1x2 + -1x2 = 0
mx + -1mx2 + 0 = 1 + x + -1x2
mx + -1mx2 = 1 + x + -1x2

Reorder the terms:
-1 + mx + -1mx2 + -1x + x2 = 1 + x + -1x2 + -1 + -1x + x2

Reorder the terms:
-1 + mx + -1mx2 + -1x + x2 = 1 + -1 + x + -1x + -1x2 + x2

Combine like terms: 1 + -1 = 0
-1 + mx + -1mx2 + -1x + x2 = 0 + x + -1x + -1x2 + x2
-1 + mx + -1mx2 + -1x + x2 = x + -1x + -1x2 + x2

Combine like terms: x + -1x = 0
-1 + mx + -1mx2 + -1x + x2 = 0 + -1x2 + x2
-1 + mx + -1mx2 + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1 + mx + -1mx2 + -1x + x2 = 0

The solution to this equation could not be determined.