13xy+5y^2-6xy+3y^2-6=

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Solution for 13xy+5y^2-6xy+3y^2-6= equation:


Simplifying
13xy + 5y2 + -6xy + 3y2 + -6 = 0

Reorder the terms:
-6 + 13xy + -6xy + 5y2 + 3y2 = 0

Combine like terms: 13xy + -6xy = 7xy
-6 + 7xy + 5y2 + 3y2 = 0

Combine like terms: 5y2 + 3y2 = 8y2
-6 + 7xy + 8y2 = 0

Solving
-6 + 7xy + 8y2 = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 7xy + 6 + 8y2 = 0 + 6

Reorder the terms:
-6 + 6 + 7xy + 8y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7xy + 8y2 = 0 + 6
7xy + 8y2 = 0 + 6

Combine like terms: 0 + 6 = 6
7xy + 8y2 = 6

Add '-8y2' to each side of the equation.
7xy + 8y2 + -8y2 = 6 + -8y2

Combine like terms: 8y2 + -8y2 = 0
7xy + 0 = 6 + -8y2
7xy = 6 + -8y2

Divide each side by '7y'.
x = 0.8571428571y-1 + -1.142857143y

Simplifying
x = 0.8571428571y-1 + -1.142857143y

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