Question 663224
Starting with
{{{x^2 + y^2 - 4x - 2y - 15 = 0 }}}
Group each variable
{{{x^2 - 4x + y^2 - 2y - 15 = 0}}}
Factor out common variable
x(x-4) + y(y-2) - 15 = 0
Standard form by adding 15 to both sides
x(x-4) + y(y-2) = 15
...
{{{cartoon(
highlight(x)^2 + y^2 - 4highlight(x) - 2y - 15 = 0,
x(x-4) + y^2 - 2y - 15 = 0,
x(x-4) + highlight(y)^2 - 2highlight(y) - 15 = 0,
x(x-4) + y(y-2) - 15 = 0,
x(x-4) + y(y-2) - 15 + highlight(15) = 0 + highlight (15),
x(x-4) + y(y-2) - cross(15) + cross(15) = 15,
x(x-4) + y(y-2) = 15)}}}
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