4y^2-x^2-24y+32=0

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Solution for 4y^2-x^2-24y+32=0 equation:


Simplifying
4y2 + -1x2 + -24y + 32 = 0

Reorder the terms:
32 + -1x2 + -24y + 4y2 = 0

Solving
32 + -1x2 + -24y + 4y2 = 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 + -1x2 + -24y + -32 + 4y2 = 0 + -32

Reorder the terms:
32 + -32 + -1x2 + -24y + 4y2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1x2 + -24y + 4y2 = 0 + -32
-1x2 + -24y + 4y2 = 0 + -32

Combine like terms: 0 + -32 = -32
-1x2 + -24y + 4y2 = -32

Add '24y' to each side of the equation.
-1x2 + -24y + 24y + 4y2 = -32 + 24y

Combine like terms: -24y + 24y = 0
-1x2 + 0 + 4y2 = -32 + 24y
-1x2 + 4y2 = -32 + 24y

Add '-4y2' to each side of the equation.
-1x2 + 4y2 + -4y2 = -32 + 24y + -4y2

Combine like terms: 4y2 + -4y2 = 0
-1x2 + 0 = -32 + 24y + -4y2
-1x2 = -32 + 24y + -4y2

Divide each side by '-1'.
x2 = 32 + -24y + 4y2

Simplifying
x2 = 32 + -24y + 4y2

Reorder the terms:
-32 + x2 + 24y + -4y2 = 32 + -24y + 4y2 + -32 + 24y + -4y2

Reorder the terms:
-32 + x2 + 24y + -4y2 = 32 + -32 + -24y + 24y + 4y2 + -4y2

Combine like terms: 32 + -32 = 0
-32 + x2 + 24y + -4y2 = 0 + -24y + 24y + 4y2 + -4y2
-32 + x2 + 24y + -4y2 = -24y + 24y + 4y2 + -4y2

Combine like terms: -24y + 24y = 0
-32 + x2 + 24y + -4y2 = 0 + 4y2 + -4y2
-32 + x2 + 24y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-32 + x2 + 24y + -4y2 = 0

The solution to this equation could not be determined.

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