y^2-6x-4y+10=0

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Solution for y^2-6x-4y+10=0 equation:


Simplifying
y2 + -6x + -4y + 10 = 0

Reorder the terms:
10 + -6x + -4y + y2 = 0

Solving
10 + -6x + -4y + y2 = 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 + -6x + -4y + -10 + y2 = 0 + -10

Reorder the terms:
10 + -10 + -6x + -4y + y2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6x + -4y + y2 = 0 + -10
-6x + -4y + y2 = 0 + -10

Combine like terms: 0 + -10 = -10
-6x + -4y + y2 = -10

Add '4y' to each side of the equation.
-6x + -4y + 4y + y2 = -10 + 4y

Combine like terms: -4y + 4y = 0
-6x + 0 + y2 = -10 + 4y
-6x + y2 = -10 + 4y

Add '-1y2' to each side of the equation.
-6x + y2 + -1y2 = -10 + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
-6x + 0 = -10 + 4y + -1y2
-6x = -10 + 4y + -1y2

Divide each side by '-6'.
x = 1.666666667 + -0.6666666667y + 0.1666666667y2

Simplifying
x = 1.666666667 + -0.6666666667y + 0.1666666667y2

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