X^2+y^2-2(2m+1)x+2(m-3)y+5-2m=o

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Solution for X^2+y^2-2(2m+1)x+2(m-3)y+5-2m=o equation:


Simplifying
X2 + y2 + -2(2m + 1) * x + 2(m + -3) * y + 5 + -2m = o

Reorder the terms:
X2 + y2 + -2(1 + 2m) * x + 2(m + -3) * y + 5 + -2m = o

Reorder the terms for easier multiplication:
X2 + y2 + -2x(1 + 2m) + 2(m + -3) * y + 5 + -2m = o
X2 + y2 + (1 * -2x + 2m * -2x) + 2(m + -3) * y + 5 + -2m = o

Reorder the terms:
X2 + y2 + (-4mx + -2x) + 2(m + -3) * y + 5 + -2m = o
X2 + y2 + (-4mx + -2x) + 2(m + -3) * y + 5 + -2m = o

Reorder the terms:
X2 + y2 + -4mx + -2x + 2(-3 + m) * y + 5 + -2m = o

Reorder the terms for easier multiplication:
X2 + y2 + -4mx + -2x + 2y(-3 + m) + 5 + -2m = o
X2 + y2 + -4mx + -2x + (-3 * 2y + m * 2y) + 5 + -2m = o

Reorder the terms:
X2 + y2 + -4mx + -2x + (2my + -6y) + 5 + -2m = o
X2 + y2 + -4mx + -2x + (2my + -6y) + 5 + -2m = o

Reorder the terms:
5 + X2 + -2m + -4mx + 2my + -2x + -6y + y2 = o

Solving
5 + X2 + -2m + -4mx + 2my + -2x + -6y + y2 = o

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + X2 + -2m + -4mx + 2my + -2x + -6y + -5 + y2 = -5 + o

Reorder the terms:
5 + -5 + X2 + -2m + -4mx + 2my + -2x + -6y + y2 = -5 + o

Combine like terms: 5 + -5 = 0
0 + X2 + -2m + -4mx + 2my + -2x + -6y + y2 = -5 + o
X2 + -2m + -4mx + 2my + -2x + -6y + y2 = -5 + o

Add '2m' to each side of the equation.
X2 + -2m + -4mx + 2my + -2x + -6y + 2m + y2 = -5 + 2m + o

Reorder the terms:
X2 + -2m + 2m + -4mx + 2my + -2x + -6y + y2 = -5 + 2m + o

Combine like terms: -2m + 2m = 0
X2 + 0 + -4mx + 2my + -2x + -6y + y2 = -5 + 2m + o
X2 + -4mx + 2my + -2x + -6y + y2 = -5 + 2m + o

Add '4mx' to each side of the equation.
X2 + -4mx + 2my + -2x + -6y + 4mx + y2 = -5 + 2m + 4mx + o

Reorder the terms:
X2 + -4mx + 4mx + 2my + -2x + -6y + y2 = -5 + 2m + 4mx + o

Combine like terms: -4mx + 4mx = 0
X2 + 0 + 2my + -2x + -6y + y2 = -5 + 2m + 4mx + o
X2 + 2my + -2x + -6y + y2 = -5 + 2m + 4mx + o

Add '-2my' to each side of the equation.
X2 + 2my + -2x + -6y + -2my + y2 = -5 + 2m + 4mx + -2my + o

Reorder the terms:
X2 + 2my + -2my + -2x + -6y + y2 = -5 + 2m + 4mx + -2my + o

Combine like terms: 2my + -2my = 0
X2 + 0 + -2x + -6y + y2 = -5 + 2m + 4mx + -2my + o
X2 + -2x + -6y + y2 = -5 + 2m + 4mx + -2my + o

Add '2x' to each side of the equation.
X2 + -2x + -6y + 2x + y2 = -5 + 2m + 4mx + -2my + o + 2x

Reorder the terms:
X2 + -2x + 2x + -6y + y2 = -5 + 2m + 4mx + -2my + o + 2x

Combine like terms: -2x + 2x = 0
X2 + 0 + -6y + y2 = -5 + 2m + 4mx + -2my + o + 2x
X2 + -6y + y2 = -5 + 2m + 4mx + -2my + o + 2x

Add '6y' to each side of the equation.
X2 + -6y + 6y + y2 = -5 + 2m + 4mx + -2my + o + 2x + 6y

Combine like terms: -6y + 6y = 0
X2 + 0 + y2 = -5 + 2m + 4mx + -2my + o + 2x + 6y
X2 + y2 = -5 + 2m + 4mx + -2my + o + 2x + 6y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -5 + 2m + 4mx + -2my + o + 2x + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -5 + 2m + 4mx + -2my + o + 2x + 6y + -1y2
X2 = -5 + 2m + 4mx + -2my + o + 2x + 6y + -1y2

Simplifying
X2 = -5 + 2m + 4mx + -2my + o + 2x + 6y + -1y2

Reorder the terms:
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = -5 + 2m + 4mx + -2my + o + 2x + 6y + -1y2 + 5 + -2m + -4mx + 2my + -1o + -2x + -6y + y2

Reorder the terms:
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = -5 + 5 + 2m + -2m + 4mx + -4mx + -2my + 2my + o + -1o + 2x + -2x + 6y + -6y + -1y2 + y2

Combine like terms: -5 + 5 = 0
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = 0 + 2m + -2m + 4mx + -4mx + -2my + 2my + o + -1o + 2x + -2x + 6y + -6y + -1y2 + y2
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = 2m + -2m + 4mx + -4mx + -2my + 2my + o + -1o + 2x + -2x + 6y + -6y + -1y2 + y2

Combine like terms: 2m + -2m = 0
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = 0 + 4mx + -4mx + -2my + 2my + o + -1o + 2x + -2x + 6y + -6y + -1y2 + y2
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = 4mx + -4mx + -2my + 2my + o + -1o + 2x + -2x + 6y + -6y + -1y2 + y2

Combine like terms: 4mx + -4mx = 0
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = 0 + -2my + 2my + o + -1o + 2x + -2x + 6y + -6y + -1y2 + y2
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = -2my + 2my + o + -1o + 2x + -2x + 6y + -6y + -1y2 + y2

Combine like terms: -2my + 2my = 0
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = 0 + o + -1o + 2x + -2x + 6y + -6y + -1y2 + y2
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = o + -1o + 2x + -2x + 6y + -6y + -1y2 + y2

Combine like terms: o + -1o = 0
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = 0 + 2x + -2x + 6y + -6y + -1y2 + y2
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = 2x + -2x + 6y + -6y + -1y2 + y2

Combine like terms: 2x + -2x = 0
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = 0 + 6y + -6y + -1y2 + y2
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = 6y + -6y + -1y2 + y2

Combine like terms: 6y + -6y = 0
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = 0 + -1y2 + y2
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
5 + X2 + -2m + -4mx + 2my + -1o + -2x + -6y + y2 = 0

The solution to this equation could not be determined.

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