(m-1)x^2-2mx+m+3=0

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Solution for (m-1)x^2-2mx+m+3=0 equation:


Simplifying
(m + -1) * x2 + -2mx + m + 3 = 0

Reorder the terms:
(-1 + m) * x2 + -2mx + m + 3 = 0

Reorder the terms for easier multiplication:
x2(-1 + m) + -2mx + m + 3 = 0
(-1 * x2 + m * x2) + -2mx + m + 3 = 0

Reorder the terms:
(mx2 + -1x2) + -2mx + m + 3 = 0
(mx2 + -1x2) + -2mx + m + 3 = 0

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

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

Solving for variable 'm'.

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

Add '-3' to each side of the equation.
3 + m + -2mx + mx2 + -3 + -1x2 = 0 + -3

Reorder the terms:
3 + -3 + m + -2mx + mx2 + -1x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m + -2mx + mx2 + -1x2 = 0 + -3
m + -2mx + mx2 + -1x2 = 0 + -3

Combine like terms: 0 + -3 = -3
m + -2mx + mx2 + -1x2 = -3

Add 'x2' to each side of the equation.
m + -2mx + mx2 + -1x2 + x2 = -3 + x2

Combine like terms: -1x2 + x2 = 0
m + -2mx + mx2 + 0 = -3 + x2
m + -2mx + mx2 = -3 + x2

Reorder the terms:
3 + m + -2mx + mx2 + -1x2 = -3 + x2 + 3 + -1x2

Reorder the terms:
3 + m + -2mx + mx2 + -1x2 = -3 + 3 + x2 + -1x2

Combine like terms: -3 + 3 = 0
3 + m + -2mx + mx2 + -1x2 = 0 + x2 + -1x2
3 + m + -2mx + mx2 + -1x2 = x2 + -1x2

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

The solution to this equation could not be determined.

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