2x^2+(m-1)*y^2-2mx+4y-1=0

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Solution for 2x^2+(m-1)*y^2-2mx+4y-1=0 equation:


Simplifying
2x2 + (m + -1) * y2 + -2mx + 4y + -1 = 0

Reorder the terms:
2x2 + (-1 + m) * y2 + -2mx + 4y + -1 = 0

Reorder the terms for easier multiplication:
2x2 + y2(-1 + m) + -2mx + 4y + -1 = 0
2x2 + (-1 * y2 + m * y2) + -2mx + 4y + -1 = 0

Reorder the terms:
2x2 + (my2 + -1y2) + -2mx + 4y + -1 = 0
2x2 + (my2 + -1y2) + -2mx + 4y + -1 = 0

Reorder the terms:
-1 + -2mx + my2 + 2x2 + 4y + -1y2 = 0

Solving
-1 + -2mx + my2 + 2x2 + 4y + -1y2 = 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 + -2mx + my2 + 2x2 + 4y + 1 + -1y2 = 0 + 1

Reorder the terms:
-1 + 1 + -2mx + my2 + 2x2 + 4y + -1y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2mx + my2 + 2x2 + 4y + -1y2 = 0 + 1
-2mx + my2 + 2x2 + 4y + -1y2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2mx + my2 + 2x2 + 4y + -1y2 = 1

Add '-2x2' to each side of the equation.
-2mx + my2 + 2x2 + 4y + -2x2 + -1y2 = 1 + -2x2

Reorder the terms:
-2mx + my2 + 2x2 + -2x2 + 4y + -1y2 = 1 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2mx + my2 + 0 + 4y + -1y2 = 1 + -2x2
-2mx + my2 + 4y + -1y2 = 1 + -2x2

Add '-4y' to each side of the equation.
-2mx + my2 + 4y + -4y + -1y2 = 1 + -2x2 + -4y

Combine like terms: 4y + -4y = 0
-2mx + my2 + 0 + -1y2 = 1 + -2x2 + -4y
-2mx + my2 + -1y2 = 1 + -2x2 + -4y

Add 'y2' to each side of the equation.
-2mx + my2 + -1y2 + y2 = 1 + -2x2 + -4y + y2

Combine like terms: -1y2 + y2 = 0
-2mx + my2 + 0 = 1 + -2x2 + -4y + y2
-2mx + my2 = 1 + -2x2 + -4y + y2

Reorder the terms:
-1 + -2mx + my2 + 2x2 + 4y + -1y2 = 1 + -2x2 + -4y + y2 + -1 + 2x2 + 4y + -1y2

Reorder the terms:
-1 + -2mx + my2 + 2x2 + 4y + -1y2 = 1 + -1 + -2x2 + 2x2 + -4y + 4y + y2 + -1y2

Combine like terms: 1 + -1 = 0
-1 + -2mx + my2 + 2x2 + 4y + -1y2 = 0 + -2x2 + 2x2 + -4y + 4y + y2 + -1y2
-1 + -2mx + my2 + 2x2 + 4y + -1y2 = -2x2 + 2x2 + -4y + 4y + y2 + -1y2

Combine like terms: -2x2 + 2x2 = 0
-1 + -2mx + my2 + 2x2 + 4y + -1y2 = 0 + -4y + 4y + y2 + -1y2
-1 + -2mx + my2 + 2x2 + 4y + -1y2 = -4y + 4y + y2 + -1y2

Combine like terms: -4y + 4y = 0
-1 + -2mx + my2 + 2x2 + 4y + -1y2 = 0 + y2 + -1y2
-1 + -2mx + my2 + 2x2 + 4y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-1 + -2mx + my2 + 2x2 + 4y + -1y2 = 0

The solution to this equation could not be determined.

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