6(5p^3-6p)=0

Solution for 6(5p^3-6p)=0 equation:

Simplifying
6(5p3 + -6p) = 0

Reorder the terms:
6(-6p + 5p3) = 0
(-6p * 6 + 5p3 * 6) = 0
(-36p + 30p3) = 0

Solving
-36p + 30p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '6p'.
6p(-6 + 5p2) = 0

Ignore the factor 6.
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 + 5p2)' equal to zero and attempt to solve:

Simplifying
-6 + 5p2 = 0

Solving
-6 + 5p2 = 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 + 5p2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5p2 = 0 + 6
5p2 = 0 + 6

Combine like terms: 0 + 6 = 6
5p2 = 6

Divide each side by '5'.
p2 = 1.2

Simplifying
p2 = 1.2

Take the square root of each side:
p = {-1.095445115, 1.095445115}
Solution
p = {0, -1.095445115, 1.095445115}