4x^2-y^2+2y+16y+16=0

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Solution for 4x^2-y^2+2y+16y+16=0 equation:


Simplifying
4x2 + -1y2 + 2y + 16y + 16 = 0

Reorder the terms:
16 + 4x2 + 2y + 16y + -1y2 = 0

Combine like terms: 2y + 16y = 18y
16 + 4x2 + 18y + -1y2 = 0

Solving
16 + 4x2 + 18y + -1y2 = 0

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + 4x2 + 18y + -16 + -1y2 = 0 + -16

Reorder the terms:
16 + -16 + 4x2 + 18y + -1y2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 4x2 + 18y + -1y2 = 0 + -16
4x2 + 18y + -1y2 = 0 + -16

Combine like terms: 0 + -16 = -16
4x2 + 18y + -1y2 = -16

Add '-18y' to each side of the equation.
4x2 + 18y + -18y + -1y2 = -16 + -18y

Combine like terms: 18y + -18y = 0
4x2 + 0 + -1y2 = -16 + -18y
4x2 + -1y2 = -16 + -18y

Add 'y2' to each side of the equation.
4x2 + -1y2 + y2 = -16 + -18y + y2

Combine like terms: -1y2 + y2 = 0
4x2 + 0 = -16 + -18y + y2
4x2 = -16 + -18y + y2

Divide each side by '4'.
x2 = -4 + -4.5y + 0.25y2

Simplifying
x2 = -4 + -4.5y + 0.25y2

Reorder the terms:
4 + x2 + 4.5y + -0.25y2 = -4 + -4.5y + 0.25y2 + 4 + 4.5y + -0.25y2

Reorder the terms:
4 + x2 + 4.5y + -0.25y2 = -4 + 4 + -4.5y + 4.5y + 0.25y2 + -0.25y2

Combine like terms: -4 + 4 = 0
4 + x2 + 4.5y + -0.25y2 = 0 + -4.5y + 4.5y + 0.25y2 + -0.25y2
4 + x2 + 4.5y + -0.25y2 = -4.5y + 4.5y + 0.25y2 + -0.25y2

Combine like terms: -4.5y + 4.5y = 0.0
4 + x2 + 4.5y + -0.25y2 = 0.0 + 0.25y2 + -0.25y2
4 + x2 + 4.5y + -0.25y2 = 0.25y2 + -0.25y2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
4 + x2 + 4.5y + -0.25y2 = 0.00

The solution to this equation could not be determined.

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