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

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


Simplifying
X2 + -1(m + -1) * x + (m + 1) = 0

Reorder the terms:
X2 + -1(-1 + m) * x + (m + 1) = 0

Reorder the terms for easier multiplication:
X2 + -1x(-1 + m) + (m + 1) = 0
X2 + (-1 * -1x + m * -1x) + (m + 1) = 0

Reorder the terms:
X2 + (-1mx + 1x) + (m + 1) = 0
X2 + (-1mx + 1x) + (m + 1) = 0

Reorder the terms:
X2 + -1mx + 1x + (1 + m) = 0

Remove parenthesis around (1 + m)
X2 + -1mx + 1x + 1 + m = 0

Reorder the terms:
1 + X2 + m + -1mx + 1x = 0

Solving
1 + X2 + m + -1mx + 1x = 0

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + X2 + m + -1mx + -1 + 1x = 0 + -1

Reorder the terms:
1 + -1 + X2 + m + -1mx + 1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + X2 + m + -1mx + 1x = 0 + -1
X2 + m + -1mx + 1x = 0 + -1

Combine like terms: 0 + -1 = -1
X2 + m + -1mx + 1x = -1

Add '-1m' to each side of the equation.
X2 + m + -1mx + -1m + 1x = -1 + -1m

Reorder the terms:
X2 + m + -1m + -1mx + 1x = -1 + -1m

Combine like terms: m + -1m = 0
X2 + 0 + -1mx + 1x = -1 + -1m
X2 + -1mx + 1x = -1 + -1m

Add 'mx' to each side of the equation.
X2 + -1mx + mx + 1x = -1 + -1m + mx

Combine like terms: -1mx + mx = 0
X2 + 0 + 1x = -1 + -1m + mx
X2 + 1x = -1 + -1m + mx

Add '-1x' to each side of the equation.
X2 + 1x + -1x = -1 + -1m + mx + -1x

Combine like terms: 1x + -1x = 0
X2 + 0 = -1 + -1m + mx + -1x
X2 = -1 + -1m + mx + -1x

Simplifying
X2 = -1 + -1m + mx + -1x

Reorder the terms:
1 + X2 + m + -1mx + x = -1 + -1m + mx + -1x + 1 + m + -1mx + x

Reorder the terms:
1 + X2 + m + -1mx + x = -1 + 1 + -1m + m + mx + -1mx + -1x + x

Combine like terms: -1 + 1 = 0
1 + X2 + m + -1mx + x = 0 + -1m + m + mx + -1mx + -1x + x
1 + X2 + m + -1mx + x = -1m + m + mx + -1mx + -1x + x

Combine like terms: -1m + m = 0
1 + X2 + m + -1mx + x = 0 + mx + -1mx + -1x + x
1 + X2 + m + -1mx + x = mx + -1mx + -1x + x

Combine like terms: mx + -1mx = 0
1 + X2 + m + -1mx + x = 0 + -1x + x
1 + X2 + m + -1mx + x = -1x + x

Combine like terms: -1x + x = 0
1 + X2 + m + -1mx + x = 0

The solution to this equation could not be determined.

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