X^2+4x+y^2-6x=17

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Solution for X^2+4x+y^2-6x=17 equation:


Simplifying
X2 + 4x + y2 + -6x = 17

Reorder the terms:
X2 + 4x + -6x + y2 = 17

Combine like terms: 4x + -6x = -2x
X2 + -2x + y2 = 17

Solving
X2 + -2x + y2 = 17

Solving for variable 'X'.

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

Add '2x' to each side of the equation.
X2 + -2x + 2x + y2 = 17 + 2x

Combine like terms: -2x + 2x = 0
X2 + 0 + y2 = 17 + 2x
X2 + y2 = 17 + 2x

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 17 + 2x + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 17 + 2x + -1y2
X2 = 17 + 2x + -1y2

Simplifying
X2 = 17 + 2x + -1y2

Reorder the terms:
-17 + X2 + -2x + y2 = 17 + 2x + -1y2 + -17 + -2x + y2

Reorder the terms:
-17 + X2 + -2x + y2 = 17 + -17 + 2x + -2x + -1y2 + y2

Combine like terms: 17 + -17 = 0
-17 + X2 + -2x + y2 = 0 + 2x + -2x + -1y2 + y2
-17 + X2 + -2x + y2 = 2x + -2x + -1y2 + y2

Combine like terms: 2x + -2x = 0
-17 + X2 + -2x + y2 = 0 + -1y2 + y2
-17 + X2 + -2x + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-17 + X2 + -2x + y2 = 0

The solution to this equation could not be determined.

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