(3p+1)(3p-1)(9+2)=0

Solution for (3p+1)(3p-1)(9+2)=0 equation:

Simplifying
(3p + 1)(3p + -1)(9 + 2) = 0

Reorder the terms:
(1 + 3p)(3p + -1)(9 + 2) = 0

Reorder the terms:
(1 + 3p)(-1 + 3p)(9 + 2) = 0

Combine like terms: 9 + 2 = 11
(1 + 3p)(-1 + 3p)(11) = 0

Reorder the terms for easier multiplication:
11(1 + 3p)(-1 + 3p) = 0

Multiply (1 + 3p) * (-1 + 3p)
11(1(-1 + 3p) + 3p * (-1 + 3p)) = 0
11((-1 * 1 + 3p * 1) + 3p * (-1 + 3p)) = 0
11((-1 + 3p) + 3p * (-1 + 3p)) = 0
11(-1 + 3p + (-1 * 3p + 3p * 3p)) = 0
11(-1 + 3p + (-3p + 9p2)) = 0

Combine like terms: 3p + -3p = 0
11(-1 + 0 + 9p2) = 0
11(-1 + 9p2) = 0
(-1 * 11 + 9p2 * 11) = 0
(-11 + 99p2) = 0

Solving
-11 + 99p2 = 0

Solving for variable 'p'.

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

Add '11' to each side of the equation.
-11 + 11 + 99p2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 99p2 = 0 + 11
99p2 = 0 + 11

Combine like terms: 0 + 11 = 11
99p2 = 11

Divide each side by '99'.
p2 = 0.1111111111

Simplifying
p2 = 0.1111111111

Take the square root of each side:
p = {-0.333333333, 0.333333333}