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

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

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

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

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

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

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

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

Reorder the terms:
px + 1x + (-2py + -3y) + -1 = 0
px + 1x + (-2py + -3y) + -1 = 0

Reorder the terms:
-1 + px + -2py + 1x + -3y = 0

Solving
-1 + px + -2py + 1x + -3y = 0

Solving for variable 'p'.

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

Add '1' to each side of the equation.
-1 + px + -2py + 1x + 1 + -3y = 0 + 1

Reorder the terms:
-1 + 1 + px + -2py + 1x + -3y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + px + -2py + 1x + -3y = 0 + 1
px + -2py + 1x + -3y = 0 + 1

Combine like terms: 0 + 1 = 1
px + -2py + 1x + -3y = 1

Add '-1x' to each side of the equation.
px + -2py + 1x + -1x + -3y = 1 + -1x

Combine like terms: 1x + -1x = 0
px + -2py + 0 + -3y = 1 + -1x
px + -2py + -3y = 1 + -1x

Add '3y' to each side of the equation.
px + -2py + -3y + 3y = 1 + -1x + 3y

Combine like terms: -3y + 3y = 0
px + -2py + 0 = 1 + -1x + 3y
px + -2py = 1 + -1x + 3y

Reorder the terms:
-1 + px + -2py + x + -3y = 1 + -1x + 3y + -1 + x + -3y

Reorder the terms:
-1 + px + -2py + x + -3y = 1 + -1 + -1x + x + 3y + -3y

Combine like terms: 1 + -1 = 0
-1 + px + -2py + x + -3y = 0 + -1x + x + 3y + -3y
-1 + px + -2py + x + -3y = -1x + x + 3y + -3y

Combine like terms: -1x + x = 0
-1 + px + -2py + x + -3y = 0 + 3y + -3y
-1 + px + -2py + x + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
-1 + px + -2py + x + -3y = 0

The solution to this equation could not be determined.