4x^2-9Y^2+8x-y-6=0

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Solution for 4x^2-9Y^2+8x-y-6=0 equation: 


Simplifying
4x2 + -9Y2 + 8x + -1y + -6 = 0

Reorder the terms:
-6 + -9Y2 + 8x + 4x2 + -1y = 0

Solving
-6 + -9Y2 + 8x + 4x2 + -1y = 0

Solving for variable 'Y'.

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

Add '6' to each side of the equation.
-6 + -9Y2 + 8x + 4x2 + 6 + -1y = 0 + 6

Reorder the terms:
-6 + 6 + -9Y2 + 8x + 4x2 + -1y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -9Y2 + 8x + 4x2 + -1y = 0 + 6
-9Y2 + 8x + 4x2 + -1y = 0 + 6

Combine like terms: 0 + 6 = 6
-9Y2 + 8x + 4x2 + -1y = 6

Add '-8x' to each side of the equation.
-9Y2 + 8x + 4x2 + -8x + -1y = 6 + -8x

Reorder the terms:
-9Y2 + 8x + -8x + 4x2 + -1y = 6 + -8x

Combine like terms: 8x + -8x = 0
-9Y2 + 0 + 4x2 + -1y = 6 + -8x
-9Y2 + 4x2 + -1y = 6 + -8x

Add '-4x2' to each side of the equation.
-9Y2 + 4x2 + -4x2 + -1y = 6 + -8x + -4x2

Combine like terms: 4x2 + -4x2 = 0
-9Y2 + 0 + -1y = 6 + -8x + -4x2
-9Y2 + -1y = 6 + -8x + -4x2

Add 'y' to each side of the equation.
-9Y2 + -1y + y = 6 + -8x + -4x2 + y

Combine like terms: -1y + y = 0
-9Y2 + 0 = 6 + -8x + -4x2 + y
-9Y2 = 6 + -8x + -4x2 + y

Divide each side by '-9'.
Y2 = -0.6666666667 + 0.8888888889x + 0.4444444444x2 + -0.1111111111y

Simplifying
Y2 = -0.6666666667 + 0.8888888889x + 0.4444444444x2 + -0.1111111111y

Reorder the terms:
0.6666666667 + Y2 + -0.8888888889x + -0.4444444444x2 + 0.1111111111y = -0.6666666667 + 0.8888888889x + 0.4444444444x2 + -0.1111111111y + 0.6666666667 + -0.8888888889x + -0.4444444444x2 + 0.1111111111y

Reorder the terms:
0.6666666667 + Y2 + -0.8888888889x + -0.4444444444x2 + 0.1111111111y = -0.6666666667 + 0.6666666667 + 0.8888888889x + -0.8888888889x + 0.4444444444x2 + -0.4444444444x2 + -0.1111111111y + 0.1111111111y

Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000
0.6666666667 + Y2 + -0.8888888889x + -0.4444444444x2 + 0.1111111111y = 0.0000000000 + 0.8888888889x + -0.8888888889x + 0.4444444444x2 + -0.4444444444x2 + -0.1111111111y + 0.1111111111y
0.6666666667 + Y2 + -0.8888888889x + -0.4444444444x2 + 0.1111111111y = 0.8888888889x + -0.8888888889x + 0.4444444444x2 + -0.4444444444x2 + -0.1111111111y + 0.1111111111y

Combine like terms: 0.8888888889x + -0.8888888889x = 0.0000000000
0.6666666667 + Y2 + -0.8888888889x + -0.4444444444x2 + 0.1111111111y = 0.0000000000 + 0.4444444444x2 + -0.4444444444x2 + -0.1111111111y + 0.1111111111y
0.6666666667 + Y2 + -0.8888888889x + -0.4444444444x2 + 0.1111111111y = 0.4444444444x2 + -0.4444444444x2 + -0.1111111111y + 0.1111111111y

Combine like terms: 0.4444444444x2 + -0.4444444444x2 = 0.0000000000
0.6666666667 + Y2 + -0.8888888889x + -0.4444444444x2 + 0.1111111111y = 0.0000000000 + -0.1111111111y + 0.1111111111y
0.6666666667 + Y2 + -0.8888888889x + -0.4444444444x2 + 0.1111111111y = -0.1111111111y + 0.1111111111y

Combine like terms: -0.1111111111y + 0.1111111111y = 0.0000000000
0.6666666667 + Y2 + -0.8888888889x + -0.4444444444x2 + 0.1111111111y = 0.0000000000

The solution to this equation could not be determined.

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