16X^2+4y^2+32x+24y=0

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Solution for 16X^2+4y^2+32x+24y=0 equation: 


Simplifying
16X2 + 4y2 + 32x + 24y = 0

Reorder the terms:
16X2 + 32x + 24y + 4y2 = 0

Solving
16X2 + 32x + 24y + 4y2 = 0

Solving for variable 'X'.

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

Add '-32x' to each side of the equation.
16X2 + 32x + 24y + -32x + 4y2 = 0 + -32x

Reorder the terms:
16X2 + 32x + -32x + 24y + 4y2 = 0 + -32x

Combine like terms: 32x + -32x = 0
16X2 + 0 + 24y + 4y2 = 0 + -32x
16X2 + 24y + 4y2 = 0 + -32x
Remove the zero:
16X2 + 24y + 4y2 = -32x

Add '-24y' to each side of the equation.
16X2 + 24y + -24y + 4y2 = -32x + -24y

Combine like terms: 24y + -24y = 0
16X2 + 0 + 4y2 = -32x + -24y
16X2 + 4y2 = -32x + -24y

Add '-4y2' to each side of the equation.
16X2 + 4y2 + -4y2 = -32x + -24y + -4y2

Combine like terms: 4y2 + -4y2 = 0
16X2 + 0 = -32x + -24y + -4y2
16X2 = -32x + -24y + -4y2

Divide each side by '16'.
X2 = -2x + -1.5y + -0.25y2

Simplifying
X2 = -2x + -1.5y + -0.25y2

Reorder the terms:
X2 + 2x + 1.5y + 0.25y2 = -2x + 2x + -1.5y + 1.5y + -0.25y2 + 0.25y2

Combine like terms: -2x + 2x = 0
X2 + 2x + 1.5y + 0.25y2 = 0 + -1.5y + 1.5y + -0.25y2 + 0.25y2
X2 + 2x + 1.5y + 0.25y2 = -1.5y + 1.5y + -0.25y2 + 0.25y2

Combine like terms: -1.5y + 1.5y = 0.0
X2 + 2x + 1.5y + 0.25y2 = 0.0 + -0.25y2 + 0.25y2
X2 + 2x + 1.5y + 0.25y2 = -0.25y2 + 0.25y2

Combine like terms: -0.25y2 + 0.25y2 = 0.00
X2 + 2x + 1.5y + 0.25y2 = 0.00

The solution to this equation could not be determined.

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