a(x+y)+b(x+y)=

Solution for a(x+y)+b(x+y)= equation:

Simplifying
a(x + y) + b(x + y) = 0
(x * a + y * a) + b(x + y) = 0
(ax + ay) + b(x + y) = 0
ax + ay + (x * b + y * b) = 0
ax + ay + (bx + by) = 0

Solving
ax + ay + bx + by = 0

Solving for variable 'a'.

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

Add '-1bx' to each side of the equation.
ax + ay + bx + -1bx + by = 0 + -1bx

Combine like terms: bx + -1bx = 0
ax + ay + 0 + by = 0 + -1bx
ax + ay + by = 0 + -1bx
Remove the zero:
ax + ay + by = -1bx

Add '-1by' to each side of the equation.
ax + ay + by + -1by = -1bx + -1by

Combine like terms: by + -1by = 0
ax + ay + 0 = -1bx + -1by
ax + ay = -1bx + -1by

Reorder the terms:
ax + ay + bx + by = -1bx + bx + -1by + by

Combine like terms: -1bx + bx = 0
ax + ay + bx + by = 0 + -1by + by
ax + ay + bx + by = -1by + by

Combine like terms: -1by + by = 0
ax + ay + bx + by = 0

The solution to this equation could not be determined.