16x^2+25y^2+200y+256=0

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Solution for 16x^2+25y^2+200y+256=0 equation: 


Simplifying
16x2 + 25y2 + 200y + 256 = 0

Reorder the terms:
256 + 16x2 + 200y + 25y2 = 0

Solving
256 + 16x2 + 200y + 25y2 = 0

Solving for variable 'x'.

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

Add '-256' to each side of the equation.
256 + 16x2 + 200y + -256 + 25y2 = 0 + -256

Reorder the terms:
256 + -256 + 16x2 + 200y + 25y2 = 0 + -256

Combine like terms: 256 + -256 = 0
0 + 16x2 + 200y + 25y2 = 0 + -256
16x2 + 200y + 25y2 = 0 + -256

Combine like terms: 0 + -256 = -256
16x2 + 200y + 25y2 = -256

Add '-200y' to each side of the equation.
16x2 + 200y + -200y + 25y2 = -256 + -200y

Combine like terms: 200y + -200y = 0
16x2 + 0 + 25y2 = -256 + -200y
16x2 + 25y2 = -256 + -200y

Add '-25y2' to each side of the equation.
16x2 + 25y2 + -25y2 = -256 + -200y + -25y2

Combine like terms: 25y2 + -25y2 = 0
16x2 + 0 = -256 + -200y + -25y2
16x2 = -256 + -200y + -25y2

Divide each side by '16'.
x2 = -16 + -12.5y + -1.5625y2

Simplifying
x2 = -16 + -12.5y + -1.5625y2

Reorder the terms:
16 + x2 + 12.5y + 1.5625y2 = -16 + -12.5y + -1.5625y2 + 16 + 12.5y + 1.5625y2

Reorder the terms:
16 + x2 + 12.5y + 1.5625y2 = -16 + 16 + -12.5y + 12.5y + -1.5625y2 + 1.5625y2

Combine like terms: -16 + 16 = 0
16 + x2 + 12.5y + 1.5625y2 = 0 + -12.5y + 12.5y + -1.5625y2 + 1.5625y2
16 + x2 + 12.5y + 1.5625y2 = -12.5y + 12.5y + -1.5625y2 + 1.5625y2

Combine like terms: -12.5y + 12.5y = 0.0
16 + x2 + 12.5y + 1.5625y2 = 0.0 + -1.5625y2 + 1.5625y2
16 + x2 + 12.5y + 1.5625y2 = -1.5625y2 + 1.5625y2

Combine like terms: -1.5625y2 + 1.5625y2 = 0.0000
16 + x2 + 12.5y + 1.5625y2 = 0.0000

The solution to this equation could not be determined.

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