x^2-2x+y^2+2y-2=(y-4)-m(x-4)

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Solution for x^2-2x+y^2+2y-2=(y-4)-m(x-4) equation: 


Simplifying
x2 + -2x + y2 + 2y + -2 = (y + -4) + -1m(x + -4)

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

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

Remove parenthesis around (-4 + y)
-2 + -2x + x2 + 2y + y2 = -4 + y + -1m(x + -4)

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

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

Solving
-2 + -2x + x2 + 2y + y2 = -4 + 4m + -1mx + y

Solving for variable 'x'.

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

Combine like terms: -2 + 4 = 2
2 + -4m + mx + -2x + x2 + 2y + -1y + y2 = -4 + 4m + -1mx + y + 4 + -4m + mx + -1y

Combine like terms: 2y + -1y = 1y
2 + -4m + mx + -2x + x2 + 1y + y2 = -4 + 4m + -1mx + y + 4 + -4m + mx + -1y

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

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

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

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

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

The solution to this equation could not be determined.

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