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

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

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

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

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

Reorder the terms:
(mx2 + -1x2) + -2mx + (m + 1) = 0
(mx2 + -1x2) + -2mx + (m + 1) = 0

Reorder the terms:
mx2 + -1x2 + -2mx + (1 + m) = 0

Remove parenthesis around (1 + m)
mx2 + -1x2 + -2mx + 1 + m = 0

Reorder the terms:
1 + m + -2mx + mx2 + -1x2 = 0

Solving
1 + m + -2mx + mx2 + -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 + m + -2mx + mx2 + -1 + -1x2 = 0 + -1

Reorder the terms:
1 + -1 + m + -2mx + mx2 + -1x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + m + -2mx + mx2 + -1x2 = 0 + -1
m + -2mx + mx2 + -1x2 = 0 + -1

Combine like terms: 0 + -1 = -1
m + -2mx + mx2 + -1x2 = -1

Add 'x2' to each side of the equation.
m + -2mx + mx2 + -1x2 + x2 = -1 + x2

Combine like terms: -1x2 + x2 = 0
m + -2mx + mx2 + 0 = -1 + x2
m + -2mx + mx2 = -1 + x2

Reorder the terms:
1 + m + -2mx + mx2 + -1x2 = -1 + x2 + 1 + -1x2

Reorder the terms:
1 + m + -2mx + mx2 + -1x2 = -1 + 1 + x2 + -1x2

Combine like terms: -1 + 1 = 0
1 + m + -2mx + mx2 + -1x2 = 0 + x2 + -1x2
1 + m + -2mx + mx2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + m + -2mx + mx2 + -1x2 = 0

The solution to this equation could not be determined.