(p+1)x=p(p+2)+78

Solution for (p+1)x=p(p+2)+78 equation:

Simplifying
(p + 1) * x = p(p + 2) + 78

Reorder the terms:
(1 + p) * x = p(p + 2) + 78

Reorder the terms for easier multiplication:
x(1 + p) = p(p + 2) + 78
(1 * x + p * x) = p(p + 2) + 78

Reorder the terms:
(px + 1x) = p(p + 2) + 78
(px + 1x) = p(p + 2) + 78

Reorder the terms:
px + 1x = p(2 + p) + 78
px + 1x = (2 * p + p * p) + 78
px + 1x = (2p + p2) + 78

Reorder the terms:
px + 1x = 78 + 2p + p2

Solving
px + 1x = 78 + 2p + p2

Solving for variable 'p'.

Reorder the terms:
-78 + -2p + px + -1p2 + 1x = 78 + 2p + p2 + -78 + -2p + -1p2

Reorder the terms:
-78 + -2p + px + -1p2 + 1x = 78 + -78 + 2p + -2p + p2 + -1p2

Combine like terms: 78 + -78 = 0
-78 + -2p + px + -1p2 + 1x = 0 + 2p + -2p + p2 + -1p2
-78 + -2p + px + -1p2 + 1x = 2p + -2p + p2 + -1p2

Combine like terms: 2p + -2p = 0
-78 + -2p + px + -1p2 + 1x = 0 + p2 + -1p2
-78 + -2p + px + -1p2 + 1x = p2 + -1p2

Combine like terms: p2 + -1p2 = 0
-78 + -2p + px + -1p2 + 1x = 0

The solution to this equation could not be determined.