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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.