49x^2+16y^2+160y-384=0

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Solution for 49x^2+16y^2+160y-384=0 equation: 


Simplifying
49x2 + 16y2 + 160y + -384 = 0

Reorder the terms:
-384 + 49x2 + 160y + 16y2 = 0

Solving
-384 + 49x2 + 160y + 16y2 = 0

Solving for variable 'x'.

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

Add '384' to each side of the equation.
-384 + 49x2 + 160y + 384 + 16y2 = 0 + 384

Reorder the terms:
-384 + 384 + 49x2 + 160y + 16y2 = 0 + 384

Combine like terms: -384 + 384 = 0
0 + 49x2 + 160y + 16y2 = 0 + 384
49x2 + 160y + 16y2 = 0 + 384

Combine like terms: 0 + 384 = 384
49x2 + 160y + 16y2 = 384

Add '-160y' to each side of the equation.
49x2 + 160y + -160y + 16y2 = 384 + -160y

Combine like terms: 160y + -160y = 0
49x2 + 0 + 16y2 = 384 + -160y
49x2 + 16y2 = 384 + -160y

Add '-16y2' to each side of the equation.
49x2 + 16y2 + -16y2 = 384 + -160y + -16y2

Combine like terms: 16y2 + -16y2 = 0
49x2 + 0 = 384 + -160y + -16y2
49x2 = 384 + -160y + -16y2

Divide each side by '49'.
x2 = 7.836734694 + -3.265306122y + -0.3265306122y2

Simplifying
x2 = 7.836734694 + -3.265306122y + -0.3265306122y2

Reorder the terms:
-7.836734694 + x2 + 3.265306122y + 0.3265306122y2 = 7.836734694 + -3.265306122y + -0.3265306122y2 + -7.836734694 + 3.265306122y + 0.3265306122y2

Reorder the terms:
-7.836734694 + x2 + 3.265306122y + 0.3265306122y2 = 7.836734694 + -7.836734694 + -3.265306122y + 3.265306122y + -0.3265306122y2 + 0.3265306122y2

Combine like terms: 7.836734694 + -7.836734694 = 0.000000000
-7.836734694 + x2 + 3.265306122y + 0.3265306122y2 = 0.000000000 + -3.265306122y + 3.265306122y + -0.3265306122y2 + 0.3265306122y2
-7.836734694 + x2 + 3.265306122y + 0.3265306122y2 = -3.265306122y + 3.265306122y + -0.3265306122y2 + 0.3265306122y2

Combine like terms: -3.265306122y + 3.265306122y = 0.000000000
-7.836734694 + x2 + 3.265306122y + 0.3265306122y2 = 0.000000000 + -0.3265306122y2 + 0.3265306122y2
-7.836734694 + x2 + 3.265306122y + 0.3265306122y2 = -0.3265306122y2 + 0.3265306122y2

Combine like terms: -0.3265306122y2 + 0.3265306122y2 = 0.0000000000
-7.836734694 + x2 + 3.265306122y + 0.3265306122y2 = 0.0000000000

The solution to this equation could not be determined.

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