3(1-2p)(p+5)=0

Solution for 3(1-2p)(p+5)=0 equation:

Simplifying
3(1 + -2p)(p + 5) = 0

Reorder the terms:
3(1 + -2p)(5 + p) = 0

Multiply (1 + -2p) * (5 + p)
3(1(5 + p) + -2p * (5 + p)) = 0
3((5 * 1 + p * 1) + -2p * (5 + p)) = 0
3((5 + 1p) + -2p * (5 + p)) = 0
3(5 + 1p + (5 * -2p + p * -2p)) = 0
3(5 + 1p + (-10p + -2p2)) = 0

Combine like terms: 1p + -10p = -9p
3(5 + -9p + -2p2) = 0
(5 * 3 + -9p * 3 + -2p2 * 3) = 0
(15 + -27p + -6p2) = 0

Solving
15 + -27p + -6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -9p + -2p2) = 0

Factor a trinomial.
3((1 + -2p)(5 + p)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + -2p)' equal to zero and attempt to solve:

Simplifying
1 + -2p = 0

Solving
1 + -2p = 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 + -2p = 0 + -1

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

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

Divide each side by '-2'.
p = 0.5

Simplifying
p = 0.5
Subproblem 2
Set the factor '(5 + p)' equal to zero and attempt to solve:

Simplifying
5 + p = 0

Solving
5 + p = 0

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

Add '-5' to each side of the equation.
5 + -5 + p = 0 + -5

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

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

Simplifying
p = -5
Solution
p = {0.5, -5}