4x^2-y^2=-8y

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


Simplifying
4x2 + -1y2 = -8y

Solving
4x2 + -1y2 = -8y

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
4x2 + -1y2 + y2 = -8y + y2

Combine like terms: -1y2 + y2 = 0
4x2 + 0 = -8y + y2
4x2 = -8y + y2

Divide each side by '4'.
x2 = -2y + 0.25y2

Simplifying
x2 = -2y + 0.25y2

Reorder the terms:
x2 + 2y + -0.25y2 = -2y + 2y + 0.25y2 + -0.25y2

Combine like terms: -2y + 2y = 0
x2 + 2y + -0.25y2 = 0 + 0.25y2 + -0.25y2
x2 + 2y + -0.25y2 = 0.25y2 + -0.25y2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
x2 + 2y + -0.25y2 = 0.00

The solution to this equation could not be determined.

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