16X^2-32x+25y^2+100y-284=0

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Solution for 16X^2-32x+25y^2+100y-284=0 equation: 


Simplifying
16X2 + -32x + 25y2 + 100y + -284 = 0

Reorder the terms:
-284 + 16X2 + -32x + 100y + 25y2 = 0

Solving
-284 + 16X2 + -32x + 100y + 25y2 = 0

Solving for variable 'X'.

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

Add '284' to each side of the equation.
-284 + 16X2 + -32x + 100y + 284 + 25y2 = 0 + 284

Reorder the terms:
-284 + 284 + 16X2 + -32x + 100y + 25y2 = 0 + 284

Combine like terms: -284 + 284 = 0
0 + 16X2 + -32x + 100y + 25y2 = 0 + 284
16X2 + -32x + 100y + 25y2 = 0 + 284

Combine like terms: 0 + 284 = 284
16X2 + -32x + 100y + 25y2 = 284

Add '32x' to each side of the equation.
16X2 + -32x + 100y + 32x + 25y2 = 284 + 32x

Reorder the terms:
16X2 + -32x + 32x + 100y + 25y2 = 284 + 32x

Combine like terms: -32x + 32x = 0
16X2 + 0 + 100y + 25y2 = 284 + 32x
16X2 + 100y + 25y2 = 284 + 32x

Add '-100y' to each side of the equation.
16X2 + 100y + -100y + 25y2 = 284 + 32x + -100y

Combine like terms: 100y + -100y = 0
16X2 + 0 + 25y2 = 284 + 32x + -100y
16X2 + 25y2 = 284 + 32x + -100y

Add '-25y2' to each side of the equation.
16X2 + 25y2 + -25y2 = 284 + 32x + -100y + -25y2

Combine like terms: 25y2 + -25y2 = 0
16X2 + 0 = 284 + 32x + -100y + -25y2
16X2 = 284 + 32x + -100y + -25y2

Divide each side by '16'.
X2 = 17.75 + 2x + -6.25y + -1.5625y2

Simplifying
X2 = 17.75 + 2x + -6.25y + -1.5625y2

Reorder the terms:
-17.75 + X2 + -2x + 6.25y + 1.5625y2 = 17.75 + 2x + -6.25y + -1.5625y2 + -17.75 + -2x + 6.25y + 1.5625y2

Reorder the terms:
-17.75 + X2 + -2x + 6.25y + 1.5625y2 = 17.75 + -17.75 + 2x + -2x + -6.25y + 6.25y + -1.5625y2 + 1.5625y2

Combine like terms: 17.75 + -17.75 = 0.00
-17.75 + X2 + -2x + 6.25y + 1.5625y2 = 0.00 + 2x + -2x + -6.25y + 6.25y + -1.5625y2 + 1.5625y2
-17.75 + X2 + -2x + 6.25y + 1.5625y2 = 2x + -2x + -6.25y + 6.25y + -1.5625y2 + 1.5625y2

Combine like terms: 2x + -2x = 0
-17.75 + X2 + -2x + 6.25y + 1.5625y2 = 0 + -6.25y + 6.25y + -1.5625y2 + 1.5625y2
-17.75 + X2 + -2x + 6.25y + 1.5625y2 = -6.25y + 6.25y + -1.5625y2 + 1.5625y2

Combine like terms: -6.25y + 6.25y = 0.00
-17.75 + X2 + -2x + 6.25y + 1.5625y2 = 0.00 + -1.5625y2 + 1.5625y2
-17.75 + X2 + -2x + 6.25y + 1.5625y2 = -1.5625y2 + 1.5625y2

Combine like terms: -1.5625y2 + 1.5625y2 = 0.0000
-17.75 + X2 + -2x + 6.25y + 1.5625y2 = 0.0000

The solution to this equation could not be determined.

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