x^3+px^2+(p-1)=0

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

Simplifying
x3 + px2 + (p + -1) = 0

Reorder the terms:
x3 + px2 + (-1 + p) = 0

Remove parenthesis around (-1 + p)
x3 + px2 + -1 + p = 0

Reorder the terms:
-1 + p + px2 + x3 = 0

Solving
-1 + p + px2 + x3 = 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 + p + px2 + 1 + x3 = 0 + 1

Reorder the terms:
-1 + 1 + p + px2 + x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + p + px2 + x3 = 0 + 1
p + px2 + x3 = 0 + 1

Combine like terms: 0 + 1 = 1
p + px2 + x3 = 1

Add '-1x3' to each side of the equation.
p + px2 + x3 + -1x3 = 1 + -1x3

Combine like terms: x3 + -1x3 = 0
p + px2 + 0 = 1 + -1x3
p + px2 = 1 + -1x3

Reorder the terms:
-1 + p + px2 + x3 = 1 + -1x3 + -1 + x3

Reorder the terms:
-1 + p + px2 + x3 = 1 + -1 + -1x3 + x3

Combine like terms: 1 + -1 = 0
-1 + p + px2 + x3 = 0 + -1x3 + x3
-1 + p + px2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-1 + p + px2 + x3 = 0

The solution to this equation could not be determined.