(a+1)x+(2a-3)y+2a=0

Solution for (a+1)x+(2a-3)y+2a=0 equation:

Simplifying
(a + 1) * x + (2a + -3) * y + 2a = 0

Reorder the terms:
(1 + a) * x + (2a + -3) * y + 2a = 0

Reorder the terms for easier multiplication:
x(1 + a) + (2a + -3) * y + 2a = 0
(1 * x + a * x) + (2a + -3) * y + 2a = 0

Reorder the terms:
(ax + 1x) + (2a + -3) * y + 2a = 0
(ax + 1x) + (2a + -3) * y + 2a = 0

Reorder the terms:
ax + 1x + (-3 + 2a) * y + 2a = 0

Reorder the terms for easier multiplication:
ax + 1x + y(-3 + 2a) + 2a = 0
ax + 1x + (-3 * y + 2a * y) + 2a = 0

Reorder the terms:
ax + 1x + (2ay + -3y) + 2a = 0
ax + 1x + (2ay + -3y) + 2a = 0

Reorder the terms:
2a + ax + 2ay + 1x + -3y = 0

Solving
2a + ax + 2ay + 1x + -3y = 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.
2a + ax + 2ay + 1x + -1x + -3y = 0 + -1x

Combine like terms: 1x + -1x = 0
2a + ax + 2ay + 0 + -3y = 0 + -1x
2a + ax + 2ay + -3y = 0 + -1x
Remove the zero:
2a + ax + 2ay + -3y = -1x

Add '3y' to each side of the equation.
2a + ax + 2ay + -3y + 3y = -1x + 3y

Combine like terms: -3y + 3y = 0
2a + ax + 2ay + 0 = -1x + 3y
2a + ax + 2ay = -1x + 3y

Reorder the terms:
2a + ax + 2ay + x + -3y = -1x + x + 3y + -3y

Combine like terms: -1x + x = 0
2a + ax + 2ay + x + -3y = 0 + 3y + -3y
2a + ax + 2ay + x + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
2a + ax + 2ay + x + -3y = 0

The solution to this equation could not be determined.