9x^2+49y^2-98y-392=0

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Solution for 9x^2+49y^2-98y-392=0 equation:


Simplifying
9x2 + 49y2 + -98y + -392 = 0

Reorder the terms:
-392 + 9x2 + -98y + 49y2 = 0

Solving
-392 + 9x2 + -98y + 49y2 = 0

Solving for variable 'x'.

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

Add '392' to each side of the equation.
-392 + 9x2 + -98y + 392 + 49y2 = 0 + 392

Reorder the terms:
-392 + 392 + 9x2 + -98y + 49y2 = 0 + 392

Combine like terms: -392 + 392 = 0
0 + 9x2 + -98y + 49y2 = 0 + 392
9x2 + -98y + 49y2 = 0 + 392

Combine like terms: 0 + 392 = 392
9x2 + -98y + 49y2 = 392

Add '98y' to each side of the equation.
9x2 + -98y + 98y + 49y2 = 392 + 98y

Combine like terms: -98y + 98y = 0
9x2 + 0 + 49y2 = 392 + 98y
9x2 + 49y2 = 392 + 98y

Add '-49y2' to each side of the equation.
9x2 + 49y2 + -49y2 = 392 + 98y + -49y2

Combine like terms: 49y2 + -49y2 = 0
9x2 + 0 = 392 + 98y + -49y2
9x2 = 392 + 98y + -49y2

Divide each side by '9'.
x2 = 43.55555556 + 10.88888889y + -5.444444444y2

Simplifying
x2 = 43.55555556 + 10.88888889y + -5.444444444y2

Reorder the terms:
-43.55555556 + x2 + -10.88888889y + 5.444444444y2 = 43.55555556 + 10.88888889y + -5.444444444y2 + -43.55555556 + -10.88888889y + 5.444444444y2

Reorder the terms:
-43.55555556 + x2 + -10.88888889y + 5.444444444y2 = 43.55555556 + -43.55555556 + 10.88888889y + -10.88888889y + -5.444444444y2 + 5.444444444y2

Combine like terms: 43.55555556 + -43.55555556 = 0.00000000
-43.55555556 + x2 + -10.88888889y + 5.444444444y2 = 0.00000000 + 10.88888889y + -10.88888889y + -5.444444444y2 + 5.444444444y2
-43.55555556 + x2 + -10.88888889y + 5.444444444y2 = 10.88888889y + -10.88888889y + -5.444444444y2 + 5.444444444y2

Combine like terms: 10.88888889y + -10.88888889y = 0.00000000
-43.55555556 + x2 + -10.88888889y + 5.444444444y2 = 0.00000000 + -5.444444444y2 + 5.444444444y2
-43.55555556 + x2 + -10.88888889y + 5.444444444y2 = -5.444444444y2 + 5.444444444y2

Combine like terms: -5.444444444y2 + 5.444444444y2 = 0.000000000
-43.55555556 + x2 + -10.88888889y + 5.444444444y2 = 0.000000000

The solution to this equation could not be determined.

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