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

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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
(1X2 + mX2) + -2mx + m + 1 = 0

Reorder the terms:
1 + 1X2 + m + mX2 + -2mx = 0

Solving
1 + 1X2 + m + mX2 + -2mx = 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 + 1X2 + m + mX2 + -1 + -2mx = 0 + -1

Reorder the terms:
1 + -1 + 1X2 + m + mX2 + -2mx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1X2 + m + mX2 + -2mx = 0 + -1
1X2 + m + mX2 + -2mx = 0 + -1

Combine like terms: 0 + -1 = -1
1X2 + m + mX2 + -2mx = -1

Add '-1m' to each side of the equation.
1X2 + m + mX2 + -1m + -2mx = -1 + -1m

Reorder the terms:
1X2 + m + -1m + mX2 + -2mx = -1 + -1m

Combine like terms: m + -1m = 0
1X2 + 0 + mX2 + -2mx = -1 + -1m
1X2 + mX2 + -2mx = -1 + -1m

Add '2mx' to each side of the equation.
1X2 + mX2 + -2mx + 2mx = -1 + -1m + 2mx

Combine like terms: -2mx + 2mx = 0
1X2 + mX2 + 0 = -1 + -1m + 2mx
1X2 + mX2 = -1 + -1m + 2mx

Reorder the terms:
1 + 1X2 + m + mX2 + -2mx = -1 + -1m + 2mx + 1 + m + -2mx

Reorder the terms:
1 + 1X2 + m + mX2 + -2mx = -1 + 1 + -1m + m + 2mx + -2mx

Combine like terms: -1 + 1 = 0
1 + 1X2 + m + mX2 + -2mx = 0 + -1m + m + 2mx + -2mx
1 + 1X2 + m + mX2 + -2mx = -1m + m + 2mx + -2mx

Combine like terms: -1m + m = 0
1 + 1X2 + m + mX2 + -2mx = 0 + 2mx + -2mx
1 + 1X2 + m + mX2 + -2mx = 2mx + -2mx

Combine like terms: 2mx + -2mx = 0
1 + 1X2 + m + mX2 + -2mx = 0

The solution to this equation could not be determined.

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