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

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

Simplifying
x3 + -1(2p + 1) * x + 2p = 0

Reorder the terms:
x3 + -1(1 + 2p) * x + 2p = 0

Reorder the terms for easier multiplication:
x3 + -1x(1 + 2p) + 2p = 0
x3 + (1 * -1x + 2p * -1x) + 2p = 0

Reorder the terms:
x3 + (-2px + -1x) + 2p = 0
x3 + (-2px + -1x) + 2p = 0

Reorder the terms:
2p + -2px + -1x + x3 = 0

Solving
2p + -2px + -1x + x3 = 0

Solving for variable 'p'.

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

Add 'x' to each side of the equation.
2p + -2px + -1x + x + x3 = 0 + x

Combine like terms: -1x + x = 0
2p + -2px + 0 + x3 = 0 + x
2p + -2px + x3 = 0 + x
Remove the zero:
2p + -2px + x3 = x

Add '-1x3' to each side of the equation.
2p + -2px + x3 + -1x3 = x + -1x3

Combine like terms: x3 + -1x3 = 0
2p + -2px + 0 = x + -1x3
2p + -2px = x + -1x3

Reorder the terms:
2p + -2px + -1x + x3 = x + -1x + -1x3 + x3

Combine like terms: x + -1x = 0
2p + -2px + -1x + x3 = 0 + -1x3 + x3
2p + -2px + -1x + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
2p + -2px + -1x + x3 = 0

The solution to this equation could not be determined.