5p(1-3p)=0

Solution for 5p(1-3p)=0 equation:

Simplifying
5p(1 + -3p) = 0
(1 * 5p + -3p * 5p) = 0
(5p + -15p2) = 0

Solving
5p + -15p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '5p'.
5p(1 + -3p) = 0

Ignore the factor 5.
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 '(1 + -3p)' equal to zero and attempt to solve:

Simplifying
1 + -3p = 0

Solving
1 + -3p = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3p = 0 + -1
-3p = 0 + -1

Combine like terms: 0 + -1 = -1
-3p = -1

Divide each side by '-3'.
p = 0.3333333333

Simplifying
p = 0.3333333333
Solution
p = {0, 0.3333333333}