(s-p)(s^2+sp+p^2)=0

Solution for (s-p)(s^2+sp+p^2)=0 equation:

Simplifying
(s + -1p)(s2 + sp + p2) = 0

Reorder the terms:
(-1p + s)(s2 + sp + p2) = 0

Reorder the terms:
(-1p + s)(ps + p2 + s2) = 0

Multiply (-1p + s) * (ps + p2 + s2)
(-1p * (ps + p2 + s2) + s(ps + p2 + s2)) = 0
((ps * -1p + p2 * -1p + s2 * -1p) + s(ps + p2 + s2)) = 0

Reorder the terms:
((-1ps2 + -1p2s + -1p3) + s(ps + p2 + s2)) = 0
((-1ps2 + -1p2s + -1p3) + s(ps + p2 + s2)) = 0
(-1ps2 + -1p2s + -1p3 + (ps * s + p2 * s + s2 * s)) = 0
(-1ps2 + -1p2s + -1p3 + (ps2 + p2s + s3)) = 0

Reorder the terms:
(-1ps2 + ps2 + -1p2s + p2s + -1p3 + s3) = 0

Combine like terms: -1ps2 + ps2 = 0
(0 + -1p2s + p2s + -1p3 + s3) = 0
(-1p2s + p2s + -1p3 + s3) = 0

Combine like terms: -1p2s + p2s = 0
(0 + -1p3 + s3) = 0
(-1p3 + s3) = 0

Solving
-1p3 + s3 = 0

Solving for variable 'p'.

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

Add '-1s3' to each side of the equation.
-1p3 + s3 + -1s3 = 0 + -1s3

Combine like terms: s3 + -1s3 = 0
-1p3 + 0 = 0 + -1s3
-1p3 = 0 + -1s3
Remove the zero:
-1p3 = -1s3

Divide each side by '-1'.
p3 = s3

Simplifying
p3 = s3

Combine like terms: s3 + -1s3 = 0
p3 + -1s3 = 0

The solution to this equation could not be determined.