4(p+1)(3p)=0

Solution for 4(p+1)(3p)=0 equation:

Simplifying
4(p + 1)(3p) = 0

Reorder the terms:
4(1 + p)(3p) = 0

Remove parenthesis around (3p)
4(1 + p) * 3p = 0

Reorder the terms for easier multiplication:
4 * 3p(1 + p) = 0

Multiply 4 * 3
12p(1 + p) = 0
(1 * 12p + p * 12p) = 0
(12p + 12p2) = 0

Solving
12p + 12p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '12p'.
12p(1 + p) = 0

Ignore the factor 12.
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 + p)' equal to zero and attempt to solve:

Simplifying
1 + p = 0

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

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

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

Simplifying
p = -1
Solution
p = {0, -1}