x^2-xy+y^2=7(2y-3x+14)

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Solution for x^2-xy+y^2=7(2y-3x+14) equation:


Simplifying
x2 + -1xy + y2 = 7(2y + -3x + 14)

Reorder the terms:
-1xy + x2 + y2 = 7(2y + -3x + 14)

Reorder the terms:
-1xy + x2 + y2 = 7(14 + -3x + 2y)
-1xy + x2 + y2 = (14 * 7 + -3x * 7 + 2y * 7)
-1xy + x2 + y2 = (98 + -21x + 14y)

Solving
-1xy + x2 + y2 = 98 + -21x + 14y

Solving for variable 'x'.

Reorder the terms:
-98 + 21x + -1xy + x2 + -14y + y2 = 98 + -21x + 14y + -98 + 21x + -14y

Reorder the terms:
-98 + 21x + -1xy + x2 + -14y + y2 = 98 + -98 + -21x + 21x + 14y + -14y

Combine like terms: 98 + -98 = 0
-98 + 21x + -1xy + x2 + -14y + y2 = 0 + -21x + 21x + 14y + -14y
-98 + 21x + -1xy + x2 + -14y + y2 = -21x + 21x + 14y + -14y

Combine like terms: -21x + 21x = 0
-98 + 21x + -1xy + x2 + -14y + y2 = 0 + 14y + -14y
-98 + 21x + -1xy + x2 + -14y + y2 = 14y + -14y

Combine like terms: 14y + -14y = 0
-98 + 21x + -1xy + x2 + -14y + y2 = 0

The solution to this equation could not be determined.

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