4x^2-y^2+8y+32=0

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Solution for 4x^2-y^2+8y+32=0 equation: 


Simplifying
4x2 + -1y2 + 8y + 32 = 0

Reorder the terms:
32 + 4x2 + 8y + -1y2 = 0

Solving
32 + 4x2 + 8y + -1y2 = 0

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + 4x2 + 8y + -32 + -1y2 = 0 + -32

Reorder the terms:
32 + -32 + 4x2 + 8y + -1y2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 4x2 + 8y + -1y2 = 0 + -32
4x2 + 8y + -1y2 = 0 + -32

Combine like terms: 0 + -32 = -32
4x2 + 8y + -1y2 = -32

Add '-8y' to each side of the equation.
4x2 + 8y + -8y + -1y2 = -32 + -8y

Combine like terms: 8y + -8y = 0
4x2 + 0 + -1y2 = -32 + -8y
4x2 + -1y2 = -32 + -8y

Add 'y2' to each side of the equation.
4x2 + -1y2 + y2 = -32 + -8y + y2

Combine like terms: -1y2 + y2 = 0
4x2 + 0 = -32 + -8y + y2
4x2 = -32 + -8y + y2

Divide each side by '4'.
x2 = -8 + -2y + 0.25y2

Simplifying
x2 = -8 + -2y + 0.25y2

Reorder the terms:
8 + x2 + 2y + -0.25y2 = -8 + -2y + 0.25y2 + 8 + 2y + -0.25y2

Reorder the terms:
8 + x2 + 2y + -0.25y2 = -8 + 8 + -2y + 2y + 0.25y2 + -0.25y2

Combine like terms: -8 + 8 = 0
8 + x2 + 2y + -0.25y2 = 0 + -2y + 2y + 0.25y2 + -0.25y2
8 + x2 + 2y + -0.25y2 = -2y + 2y + 0.25y2 + -0.25y2

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

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

The solution to this equation could not be determined.

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