102x^2+6y^2+89y-322=0

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Solution for 102x^2+6y^2+89y-322=0 equation: 


Simplifying
102x2 + 6y2 + 89y + -322 = 0

Reorder the terms:
-322 + 102x2 + 89y + 6y2 = 0

Solving
-322 + 102x2 + 89y + 6y2 = 0

Solving for variable 'x'.

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

Add '322' to each side of the equation.
-322 + 102x2 + 89y + 322 + 6y2 = 0 + 322

Reorder the terms:
-322 + 322 + 102x2 + 89y + 6y2 = 0 + 322

Combine like terms: -322 + 322 = 0
0 + 102x2 + 89y + 6y2 = 0 + 322
102x2 + 89y + 6y2 = 0 + 322

Combine like terms: 0 + 322 = 322
102x2 + 89y + 6y2 = 322

Add '-89y' to each side of the equation.
102x2 + 89y + -89y + 6y2 = 322 + -89y

Combine like terms: 89y + -89y = 0
102x2 + 0 + 6y2 = 322 + -89y
102x2 + 6y2 = 322 + -89y

Add '-6y2' to each side of the equation.
102x2 + 6y2 + -6y2 = 322 + -89y + -6y2

Combine like terms: 6y2 + -6y2 = 0
102x2 + 0 = 322 + -89y + -6y2
102x2 = 322 + -89y + -6y2

Divide each side by '102'.
x2 = 3.156862745 + -0.8725490196y + -0.05882352941y2

Simplifying
x2 = 3.156862745 + -0.8725490196y + -0.05882352941y2

Reorder the terms:
-3.156862745 + x2 + 0.8725490196y + 0.05882352941y2 = 3.156862745 + -0.8725490196y + -0.05882352941y2 + -3.156862745 + 0.8725490196y + 0.05882352941y2

Reorder the terms:
-3.156862745 + x2 + 0.8725490196y + 0.05882352941y2 = 3.156862745 + -3.156862745 + -0.8725490196y + 0.8725490196y + -0.05882352941y2 + 0.05882352941y2

Combine like terms: 3.156862745 + -3.156862745 = 0.000000000
-3.156862745 + x2 + 0.8725490196y + 0.05882352941y2 = 0.000000000 + -0.8725490196y + 0.8725490196y + -0.05882352941y2 + 0.05882352941y2
-3.156862745 + x2 + 0.8725490196y + 0.05882352941y2 = -0.8725490196y + 0.8725490196y + -0.05882352941y2 + 0.05882352941y2

Combine like terms: -0.8725490196y + 0.8725490196y = 0.0000000000
-3.156862745 + x2 + 0.8725490196y + 0.05882352941y2 = 0.0000000000 + -0.05882352941y2 + 0.05882352941y2
-3.156862745 + x2 + 0.8725490196y + 0.05882352941y2 = -0.05882352941y2 + 0.05882352941y2

Combine like terms: -0.05882352941y2 + 0.05882352941y2 = 0.00000000000
-3.156862745 + x2 + 0.8725490196y + 0.05882352941y2 = 0.00000000000

The solution to this equation could not be determined.

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