3a(x+y)+x+y=0

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Solution for 3a(x+y)+x+y=0 equation:


Simplifying
3a(x + y) + x + y = 0
(x * 3a + y * 3a) + x + y = 0
(3ax + 3ay) + x + y = 0

Solving
3ax + 3ay + x + y = 0

Solving for variable 'a'.

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

Add '-1x' to each side of the equation.
3ax + 3ay + x + -1x + y = 0 + -1x

Combine like terms: x + -1x = 0
3ax + 3ay + 0 + y = 0 + -1x
3ax + 3ay + y = 0 + -1x
Remove the zero:
3ax + 3ay + y = -1x

Add '-1y' to each side of the equation.
3ax + 3ay + y + -1y = -1x + -1y

Combine like terms: y + -1y = 0
3ax + 3ay + 0 = -1x + -1y
3ax + 3ay = -1x + -1y

Reorder the terms:
3ax + 3ay + x + y = -1x + x + -1y + y

Combine like terms: -1x + x = 0
3ax + 3ay + x + y = 0 + -1y + y
3ax + 3ay + x + y = -1y + y

Combine like terms: -1y + y = 0
3ax + 3ay + x + y = 0

The solution to this equation could not be determined.

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