(3p-1)(3p+1)=

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

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

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

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

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

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

Solving
-1 + 9p2 = 0

Solving for variable 'p'.

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

Add '1' to each side of the equation.
-1 + 1 + 9p2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 9p2 = 0 + 1
9p2 = 0 + 1

Combine like terms: 0 + 1 = 1
9p2 = 1

Divide each side by '9'.
p2 = 0.1111111111

Simplifying
p2 = 0.1111111111

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