20+5xy+4y^2+10+y^2+xy=0

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Solution for 20+5xy+4y^2+10+y^2+xy=0 equation:


Simplifying
20 + 5xy + 4y2 + 10 + y2 + xy = 0

Reorder the terms:
20 + 10 + 5xy + xy + 4y2 + y2 = 0

Combine like terms: 20 + 10 = 30
30 + 5xy + xy + 4y2 + y2 = 0

Combine like terms: 5xy + xy = 6xy
30 + 6xy + 4y2 + y2 = 0

Combine like terms: 4y2 + y2 = 5y2
30 + 6xy + 5y2 = 0

Solving
30 + 6xy + 5y2 = 0

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + 6xy + -30 + 5y2 = 0 + -30

Reorder the terms:
30 + -30 + 6xy + 5y2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 6xy + 5y2 = 0 + -30
6xy + 5y2 = 0 + -30

Combine like terms: 0 + -30 = -30
6xy + 5y2 = -30

Add '-5y2' to each side of the equation.
6xy + 5y2 + -5y2 = -30 + -5y2

Combine like terms: 5y2 + -5y2 = 0
6xy + 0 = -30 + -5y2
6xy = -30 + -5y2

Divide each side by '6y'.
x = -5y-1 + -0.8333333333y

Simplifying
x = -5y-1 + -0.8333333333y

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