5x^2+4sqrt(6)xy+7y^2-22=0

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Solution for 5x^2+4sqrt(6)xy+7y^2-22=0 equation:


Simplifying
5x2 + 4sqrt(6) * xy + 7y2 + -22 = 0

Reorder the terms for easier multiplication:
5x2 + 4 * 6qrst * xy + 7y2 + -22 = 0

Multiply 4 * 6
5x2 + 24qrst * xy + 7y2 + -22 = 0

Multiply qrst * xy
5x2 + 24qrstxy + 7y2 + -22 = 0

Reorder the terms:
-22 + 24qrstxy + 5x2 + 7y2 = 0

Solving
-22 + 24qrstxy + 5x2 + 7y2 = 0

Solving for variable 'q'.

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

Add '22' to each side of the equation.
-22 + 24qrstxy + 5x2 + 22 + 7y2 = 0 + 22

Reorder the terms:
-22 + 22 + 24qrstxy + 5x2 + 7y2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 24qrstxy + 5x2 + 7y2 = 0 + 22
24qrstxy + 5x2 + 7y2 = 0 + 22

Combine like terms: 0 + 22 = 22
24qrstxy + 5x2 + 7y2 = 22

Add '-5x2' to each side of the equation.
24qrstxy + 5x2 + -5x2 + 7y2 = 22 + -5x2

Combine like terms: 5x2 + -5x2 = 0
24qrstxy + 0 + 7y2 = 22 + -5x2
24qrstxy + 7y2 = 22 + -5x2

Add '-7y2' to each side of the equation.
24qrstxy + 7y2 + -7y2 = 22 + -5x2 + -7y2

Combine like terms: 7y2 + -7y2 = 0
24qrstxy + 0 = 22 + -5x2 + -7y2
24qrstxy = 22 + -5x2 + -7y2

Divide each side by '24rstxy'.
q = 0.9166666667r-1s-1t-1x-1y-1 + -0.2083333333r-1s-1t-1xy-1 + -0.2916666667r-1s-1t-1x-1y

Simplifying
q = 0.9166666667r-1s-1t-1x-1y-1 + -0.2083333333r-1s-1t-1xy-1 + -0.2916666667r-1s-1t-1x-1y

Reorder the terms:
q = 0.9166666667r-1s-1t-1x-1y-1 + -0.2916666667r-1s-1t-1x-1y + -0.2083333333r-1s-1t-1xy-1

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