(x+6y)(x+y)=5

Solution for (x+6y)(x+y)=5 equation:

Simplifying
(x + 6y)(x + y) = 5

Multiply (x + 6y) * (x + y)
(x(x + y) + 6y * (x + y)) = 5
((x * x + y * x) + 6y * (x + y)) = 5

Reorder the terms:
((xy + x2) + 6y * (x + y)) = 5
((xy + x2) + 6y * (x + y)) = 5
(xy + x2 + (x * 6y + y * 6y)) = 5
(xy + x2 + (6xy + 6y2)) = 5

Reorder the terms:
(xy + 6xy + x2 + 6y2) = 5

Combine like terms: xy + 6xy = 7xy
(7xy + x2 + 6y2) = 5

Solving
7xy + x2 + 6y2 = 5

Solving for variable 'x'.

Reorder the terms:
-5 + 7xy + x2 + 6y2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 7xy + x2 + 6y2 = 0

The solution to this equation could not be determined.