7xy+3y^2-12xy+10y^2-10=

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Solution for 7xy+3y^2-12xy+10y^2-10= equation:


Simplifying
7xy + 3y2 + -12xy + 10y2 + -10 = 0

Reorder the terms:
-10 + 7xy + -12xy + 3y2 + 10y2 = 0

Combine like terms: 7xy + -12xy = -5xy
-10 + -5xy + 3y2 + 10y2 = 0

Combine like terms: 3y2 + 10y2 = 13y2
-10 + -5xy + 13y2 = 0

Solving
-10 + -5xy + 13y2 = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + -5xy + 10 + 13y2 = 0 + 10

Reorder the terms:
-10 + 10 + -5xy + 13y2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -5xy + 13y2 = 0 + 10
-5xy + 13y2 = 0 + 10

Combine like terms: 0 + 10 = 10
-5xy + 13y2 = 10

Add '-13y2' to each side of the equation.
-5xy + 13y2 + -13y2 = 10 + -13y2

Combine like terms: 13y2 + -13y2 = 0
-5xy + 0 = 10 + -13y2
-5xy = 10 + -13y2

Divide each side by '-5y'.
x = -2y-1 + 2.6y

Simplifying
x = -2y-1 + 2.6y

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