5p(2-p)=

Solution for 5p(2-p)= equation:

Simplifying
5p(2 + -1p) = 0
(2 * 5p + -1p * 5p) = 0
(10p + -5p2) = 0

Solving
10p + -5p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '5p'.
5p(2 + -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 '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Solution
p = {0, 2}