graphy^2+4y-x^2+2x=6

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


Simplifying
graphy2 + 4y + -1x2 + 2x = 6

Reorder the terms:
aghpry2 + 2x + -1x2 + 4y = 6

Solving
aghpry2 + 2x + -1x2 + 4y = 6

Solving for variable 'a'.

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

Add '-2x' to each side of the equation.
aghpry2 + 2x + -1x2 + -2x + 4y = 6 + -2x

Reorder the terms:
aghpry2 + 2x + -2x + -1x2 + 4y = 6 + -2x

Combine like terms: 2x + -2x = 0
aghpry2 + 0 + -1x2 + 4y = 6 + -2x
aghpry2 + -1x2 + 4y = 6 + -2x

Add 'x2' to each side of the equation.
aghpry2 + -1x2 + x2 + 4y = 6 + -2x + x2

Combine like terms: -1x2 + x2 = 0
aghpry2 + 0 + 4y = 6 + -2x + x2
aghpry2 + 4y = 6 + -2x + x2

Add '-4y' to each side of the equation.
aghpry2 + 4y + -4y = 6 + -2x + x2 + -4y

Combine like terms: 4y + -4y = 0
aghpry2 + 0 = 6 + -2x + x2 + -4y
aghpry2 = 6 + -2x + x2 + -4y

Divide each side by 'ghpry2'.
a = 6g-1h-1p-1r-1y-2 + -2g-1h-1p-1r-1xy-2 + g-1h-1p-1r-1x2y-2 + -4g-1h-1p-1r-1y-1

Simplifying
a = 6g-1h-1p-1r-1y-2 + -2g-1h-1p-1r-1xy-2 + g-1h-1p-1r-1x2y-2 + -4g-1h-1p-1r-1y-1

Reorder the terms:
a = -2g-1h-1p-1r-1xy-2 + g-1h-1p-1r-1x2y-2 + 6g-1h-1p-1r-1y-2 + -4g-1h-1p-1r-1y-1

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