Y^2+8y+19+x^2=-4x

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Solution for Y^2+8y+19+x^2=-4x equation:


Simplifying
Y2 + 8y + 19 + x2 = -4x

Reorder the terms:
19 + Y2 + x2 + 8y = -4x

Solving
19 + Y2 + x2 + 8y = -4x

Solving for variable 'Y'.

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

Add '-19' to each side of the equation.
19 + Y2 + x2 + -19 + 8y = -19 + -4x

Reorder the terms:
19 + -19 + Y2 + x2 + 8y = -19 + -4x

Combine like terms: 19 + -19 = 0
0 + Y2 + x2 + 8y = -19 + -4x
Y2 + x2 + 8y = -19 + -4x

Add '-1x2' to each side of the equation.
Y2 + x2 + -1x2 + 8y = -19 + -4x + -1x2

Combine like terms: x2 + -1x2 = 0
Y2 + 0 + 8y = -19 + -4x + -1x2
Y2 + 8y = -19 + -4x + -1x2

Add '-8y' to each side of the equation.
Y2 + 8y + -8y = -19 + -4x + -1x2 + -8y

Combine like terms: 8y + -8y = 0
Y2 + 0 = -19 + -4x + -1x2 + -8y
Y2 = -19 + -4x + -1x2 + -8y

Simplifying
Y2 = -19 + -4x + -1x2 + -8y

Reorder the terms:
19 + Y2 + 4x + x2 + 8y = -19 + -4x + -1x2 + -8y + 19 + 4x + x2 + 8y

Reorder the terms:
19 + Y2 + 4x + x2 + 8y = -19 + 19 + -4x + 4x + -1x2 + x2 + -8y + 8y

Combine like terms: -19 + 19 = 0
19 + Y2 + 4x + x2 + 8y = 0 + -4x + 4x + -1x2 + x2 + -8y + 8y
19 + Y2 + 4x + x2 + 8y = -4x + 4x + -1x2 + x2 + -8y + 8y

Combine like terms: -4x + 4x = 0
19 + Y2 + 4x + x2 + 8y = 0 + -1x2 + x2 + -8y + 8y
19 + Y2 + 4x + x2 + 8y = -1x2 + x2 + -8y + 8y

Combine like terms: -1x2 + x2 = 0
19 + Y2 + 4x + x2 + 8y = 0 + -8y + 8y
19 + Y2 + 4x + x2 + 8y = -8y + 8y

Combine like terms: -8y + 8y = 0
19 + Y2 + 4x + x2 + 8y = 0

The solution to this equation could not be determined.

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