5p(3-p)=

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

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

Solving
15p + -5p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '5p'.
5p(3 + -1p) = 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 '(3 + -1p)' equal to zero and attempt to solve:

Simplifying
3 + -1p = 0

Solving
3 + -1p = 0

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

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

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

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

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Solution
p = {0, 3}