(3p+5)(3p-5)=

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

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

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

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

Multiply (5 + 3p) * (-5 + 3p)
(5(-5 + 3p) + 3p * (-5 + 3p)) = 0
((-5 * 5 + 3p * 5) + 3p * (-5 + 3p)) = 0
((-25 + 15p) + 3p * (-5 + 3p)) = 0
(-25 + 15p + (-5 * 3p + 3p * 3p)) = 0
(-25 + 15p + (-15p + 9p2)) = 0

Combine like terms: 15p + -15p = 0
(-25 + 0 + 9p2) = 0
(-25 + 9p2) = 0

Solving
-25 + 9p2 = 0

Solving for variable 'p'.

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

Add '25' to each side of the equation.
-25 + 25 + 9p2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 9p2 = 0 + 25
9p2 = 0 + 25

Combine like terms: 0 + 25 = 25
9p2 = 25

Divide each side by '9'.
p2 = 2.777777778

Simplifying
p2 = 2.777777778

Take the square root of each side:
p = {-1.666666667, 1.666666667}