2p-5p(1-p)=

Solution for 2p-5p(1-p)= equation:

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

Combine like terms: 2p + -5p = -3p
-3p + 5p2 = 0

Solving
-3p + 5p2 = 0

Solving for variable 'p'.

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

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 + 5p)' equal to zero and attempt to solve:

Simplifying
-3 + 5p = 0

Solving
-3 + 5p = 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 + 5p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5p = 0 + 3
5p = 0 + 3

Combine like terms: 0 + 3 = 3
5p = 3

Divide each side by '5'.
p = 0.6

Simplifying
p = 0.6
Solution
p = {0, 0.6}