9x^2-16y^2-32y-160=0

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Solution for 9x^2-16y^2-32y-160=0 equation: 


Simplifying
9x2 + -16y2 + -32y + -160 = 0

Reorder the terms:
-160 + 9x2 + -32y + -16y2 = 0

Solving
-160 + 9x2 + -32y + -16y2 = 0

Solving for variable 'x'.

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

Add '160' to each side of the equation.
-160 + 9x2 + -32y + 160 + -16y2 = 0 + 160

Reorder the terms:
-160 + 160 + 9x2 + -32y + -16y2 = 0 + 160

Combine like terms: -160 + 160 = 0
0 + 9x2 + -32y + -16y2 = 0 + 160
9x2 + -32y + -16y2 = 0 + 160

Combine like terms: 0 + 160 = 160
9x2 + -32y + -16y2 = 160

Add '32y' to each side of the equation.
9x2 + -32y + 32y + -16y2 = 160 + 32y

Combine like terms: -32y + 32y = 0
9x2 + 0 + -16y2 = 160 + 32y
9x2 + -16y2 = 160 + 32y

Add '16y2' to each side of the equation.
9x2 + -16y2 + 16y2 = 160 + 32y + 16y2

Combine like terms: -16y2 + 16y2 = 0
9x2 + 0 = 160 + 32y + 16y2
9x2 = 160 + 32y + 16y2

Divide each side by '9'.
x2 = 17.77777778 + 3.555555556y + 1.777777778y2

Simplifying
x2 = 17.77777778 + 3.555555556y + 1.777777778y2

Reorder the terms:
-17.77777778 + x2 + -3.555555556y + -1.777777778y2 = 17.77777778 + 3.555555556y + 1.777777778y2 + -17.77777778 + -3.555555556y + -1.777777778y2

Reorder the terms:
-17.77777778 + x2 + -3.555555556y + -1.777777778y2 = 17.77777778 + -17.77777778 + 3.555555556y + -3.555555556y + 1.777777778y2 + -1.777777778y2

Combine like terms: 17.77777778 + -17.77777778 = 0.00000000
-17.77777778 + x2 + -3.555555556y + -1.777777778y2 = 0.00000000 + 3.555555556y + -3.555555556y + 1.777777778y2 + -1.777777778y2
-17.77777778 + x2 + -3.555555556y + -1.777777778y2 = 3.555555556y + -3.555555556y + 1.777777778y2 + -1.777777778y2

Combine like terms: 3.555555556y + -3.555555556y = 0.000000000
-17.77777778 + x2 + -3.555555556y + -1.777777778y2 = 0.000000000 + 1.777777778y2 + -1.777777778y2
-17.77777778 + x2 + -3.555555556y + -1.777777778y2 = 1.777777778y2 + -1.777777778y2

Combine like terms: 1.777777778y2 + -1.777777778y2 = 0.000000000
-17.77777778 + x2 + -3.555555556y + -1.777777778y2 = 0.000000000

The solution to this equation could not be determined.

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