Y^2+4Y+8X+92=4y-3X-12

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Solution for Y^2+4Y+8X+92=4y-3X-12 equation: 


Simplifying
Y2 + 4Y + 8X + 92 = 4y + -3X + -12

Reorder the terms:
92 + 8X + 4Y + Y2 = 4y + -3X + -12

Reorder the terms:
92 + 8X + 4Y + Y2 = -12 + -3X + 4y

Solving
92 + 8X + 4Y + Y2 = -12 + -3X + 4y

Solving for variable 'X'.

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

Add '3X' to each side of the equation.
92 + 8X + 4Y + 3X + Y2 = -12 + -3X + 3X + 4y

Reorder the terms:
92 + 8X + 3X + 4Y + Y2 = -12 + -3X + 3X + 4y

Combine like terms: 8X + 3X = 11X
92 + 11X + 4Y + Y2 = -12 + -3X + 3X + 4y

Combine like terms: -3X + 3X = 0
92 + 11X + 4Y + Y2 = -12 + 0 + 4y
92 + 11X + 4Y + Y2 = -12 + 4y

Add '-92' to each side of the equation.
92 + 11X + 4Y + -92 + Y2 = -12 + -92 + 4y

Reorder the terms:
92 + -92 + 11X + 4Y + Y2 = -12 + -92 + 4y

Combine like terms: 92 + -92 = 0
0 + 11X + 4Y + Y2 = -12 + -92 + 4y
11X + 4Y + Y2 = -12 + -92 + 4y

Combine like terms: -12 + -92 = -104
11X + 4Y + Y2 = -104 + 4y

Add '-4Y' to each side of the equation.
11X + 4Y + -4Y + Y2 = -104 + -4Y + 4y

Combine like terms: 4Y + -4Y = 0
11X + 0 + Y2 = -104 + -4Y + 4y
11X + Y2 = -104 + -4Y + 4y

Add '-1Y2' to each side of the equation.
11X + Y2 + -1Y2 = -104 + -4Y + -1Y2 + 4y

Combine like terms: Y2 + -1Y2 = 0
11X + 0 = -104 + -4Y + -1Y2 + 4y
11X = -104 + -4Y + -1Y2 + 4y

Divide each side by '11'.
X = -9.454545455 + -0.3636363636Y + -0.09090909091Y2 + 0.3636363636y

Simplifying
X = -9.454545455 + -0.3636363636Y + -0.09090909091Y2 + 0.3636363636y

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