9x^2-4t^2+y^2-6xy=0

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Solution for 9x^2-4t^2+y^2-6xy=0 equation: 


Simplifying
9x2 + -4t2 + y2 + -6xy = 0

Reorder the terms:
-4t2 + -6xy + 9x2 + y2 = 0

Solving
-4t2 + -6xy + 9x2 + y2 = 0

Solving for variable 't'.

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

Add '6xy' to each side of the equation.
-4t2 + -6xy + 9x2 + 6xy + y2 = 0 + 6xy

Reorder the terms:
-4t2 + -6xy + 6xy + 9x2 + y2 = 0 + 6xy

Combine like terms: -6xy + 6xy = 0
-4t2 + 0 + 9x2 + y2 = 0 + 6xy
-4t2 + 9x2 + y2 = 0 + 6xy
Remove the zero:
-4t2 + 9x2 + y2 = 6xy

Add '-9x2' to each side of the equation.
-4t2 + 9x2 + -9x2 + y2 = 6xy + -9x2

Combine like terms: 9x2 + -9x2 = 0
-4t2 + 0 + y2 = 6xy + -9x2
-4t2 + y2 = 6xy + -9x2

Add '-1y2' to each side of the equation.
-4t2 + y2 + -1y2 = 6xy + -9x2 + -1y2

Combine like terms: y2 + -1y2 = 0
-4t2 + 0 = 6xy + -9x2 + -1y2
-4t2 = 6xy + -9x2 + -1y2

Divide each side by '-4'.
t2 = -1.5xy + 2.25x2 + 0.25y2

Simplifying
t2 = -1.5xy + 2.25x2 + 0.25y2

Reorder the terms:
t2 + 1.5xy + -2.25x2 + -0.25y2 = -1.5xy + 1.5xy + 2.25x2 + -2.25x2 + 0.25y2 + -0.25y2

Combine like terms: -1.5xy + 1.5xy = 0.0
t2 + 1.5xy + -2.25x2 + -0.25y2 = 0.0 + 2.25x2 + -2.25x2 + 0.25y2 + -0.25y2
t2 + 1.5xy + -2.25x2 + -0.25y2 = 2.25x2 + -2.25x2 + 0.25y2 + -0.25y2

Combine like terms: 2.25x2 + -2.25x2 = 0.00
t2 + 1.5xy + -2.25x2 + -0.25y2 = 0.00 + 0.25y2 + -0.25y2
t2 + 1.5xy + -2.25x2 + -0.25y2 = 0.25y2 + -0.25y2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
t2 + 1.5xy + -2.25x2 + -0.25y2 = 0.00

The solution to this equation could not be determined.

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