9x^2+16y^2-32y-128=0

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Solution for 9x^2+16y^2-32y-128=0 equation: 


Simplifying
9x2 + 16y2 + -32y + -128 = 0

Reorder the terms:
-128 + 9x2 + -32y + 16y2 = 0

Solving
-128 + 9x2 + -32y + 16y2 = 0

Solving for variable 'x'.

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

Add '128' to each side of the equation.
-128 + 9x2 + -32y + 128 + 16y2 = 0 + 128

Reorder the terms:
-128 + 128 + 9x2 + -32y + 16y2 = 0 + 128

Combine like terms: -128 + 128 = 0
0 + 9x2 + -32y + 16y2 = 0 + 128
9x2 + -32y + 16y2 = 0 + 128

Combine like terms: 0 + 128 = 128
9x2 + -32y + 16y2 = 128

Add '32y' to each side of the equation.
9x2 + -32y + 32y + 16y2 = 128 + 32y

Combine like terms: -32y + 32y = 0
9x2 + 0 + 16y2 = 128 + 32y
9x2 + 16y2 = 128 + 32y

Add '-16y2' to each side of the equation.
9x2 + 16y2 + -16y2 = 128 + 32y + -16y2

Combine like terms: 16y2 + -16y2 = 0
9x2 + 0 = 128 + 32y + -16y2
9x2 = 128 + 32y + -16y2

Divide each side by '9'.
x2 = 14.22222222 + 3.555555556y + -1.777777778y2

Simplifying
x2 = 14.22222222 + 3.555555556y + -1.777777778y2

Reorder the terms:
-14.22222222 + x2 + -3.555555556y + 1.777777778y2 = 14.22222222 + 3.555555556y + -1.777777778y2 + -14.22222222 + -3.555555556y + 1.777777778y2

Reorder the terms:
-14.22222222 + x2 + -3.555555556y + 1.777777778y2 = 14.22222222 + -14.22222222 + 3.555555556y + -3.555555556y + -1.777777778y2 + 1.777777778y2

Combine like terms: 14.22222222 + -14.22222222 = 0.00000000
-14.22222222 + x2 + -3.555555556y + 1.777777778y2 = 0.00000000 + 3.555555556y + -3.555555556y + -1.777777778y2 + 1.777777778y2
-14.22222222 + x2 + -3.555555556y + 1.777777778y2 = 3.555555556y + -3.555555556y + -1.777777778y2 + 1.777777778y2

Combine like terms: 3.555555556y + -3.555555556y = 0.000000000
-14.22222222 + x2 + -3.555555556y + 1.777777778y2 = 0.000000000 + -1.777777778y2 + 1.777777778y2
-14.22222222 + x2 + -3.555555556y + 1.777777778y2 = -1.777777778y2 + 1.777777778y2

Combine like terms: -1.777777778y2 + 1.777777778y2 = 0.000000000
-14.22222222 + x2 + -3.555555556y + 1.777777778y2 = 0.000000000

The solution to this equation could not be determined.

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