10p^3-60p=0

Solution for 10p^3-60p=0 equation:

Simplifying
10p3 + -60p = 0

Reorder the terms:
-60p + 10p3 = 0

Solving
-60p + 10p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '10p'.
10p(-6 + p2) = 0

Ignore the factor 10.
Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(-6 + p2)' equal to zero and attempt to solve:

Simplifying
-6 + p2 = 0

Solving
-6 + p2 = 0

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

Add '6' to each side of the equation.
-6 + 6 + p2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + p2 = 0 + 6
p2 = 0 + 6

Combine like terms: 0 + 6 = 6
p2 = 6

Simplifying
p2 = 6

Take the square root of each side:
p = {-2.449489743, 2.449489743}
Solution
p = {0, -2.449489743, 2.449489743}