42*X^2-103xy-31*y^2=0

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Solution for 42*X^2-103xy-31*y^2=0 equation:


Simplifying
42X2 + -103xy + -31y2 = 0

Solving
42X2 + -103xy + -31y2 = 0

Solving for variable 'X'.

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

Add '103xy' to each side of the equation.
42X2 + -103xy + 103xy + -31y2 = 0 + 103xy

Combine like terms: -103xy + 103xy = 0
42X2 + 0 + -31y2 = 0 + 103xy
42X2 + -31y2 = 0 + 103xy
Remove the zero:
42X2 + -31y2 = 103xy

Add '31y2' to each side of the equation.
42X2 + -31y2 + 31y2 = 103xy + 31y2

Combine like terms: -31y2 + 31y2 = 0
42X2 + 0 = 103xy + 31y2
42X2 = 103xy + 31y2

Divide each side by '42'.
X2 = 2.452380952xy + 0.7380952381y2

Simplifying
X2 = 2.452380952xy + 0.7380952381y2

Reorder the terms:
X2 + -2.452380952xy + -0.7380952381y2 = 2.452380952xy + -2.452380952xy + 0.7380952381y2 + -0.7380952381y2

Combine like terms: 2.452380952xy + -2.452380952xy = 0.000000000
X2 + -2.452380952xy + -0.7380952381y2 = 0.000000000 + 0.7380952381y2 + -0.7380952381y2
X2 + -2.452380952xy + -0.7380952381y2 = 0.7380952381y2 + -0.7380952381y2

Combine like terms: 0.7380952381y2 + -0.7380952381y2 = 0.0000000000
X2 + -2.452380952xy + -0.7380952381y2 = 0.0000000000

The solution to this equation could not be determined.

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