(2p+9)(2p-9)=

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

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

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

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

Multiply (9 + 2p) * (-9 + 2p)
(9(-9 + 2p) + 2p * (-9 + 2p)) = 0
((-9 * 9 + 2p * 9) + 2p * (-9 + 2p)) = 0
((-81 + 18p) + 2p * (-9 + 2p)) = 0
(-81 + 18p + (-9 * 2p + 2p * 2p)) = 0
(-81 + 18p + (-18p + 4p2)) = 0

Combine like terms: 18p + -18p = 0
(-81 + 0 + 4p2) = 0
(-81 + 4p2) = 0

Solving
-81 + 4p2 = 0

Solving for variable 'p'.

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

Add '81' to each side of the equation.
-81 + 81 + 4p2 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 4p2 = 0 + 81
4p2 = 0 + 81

Combine like terms: 0 + 81 = 81
4p2 = 81

Divide each side by '4'.
p2 = 20.25

Simplifying
p2 = 20.25

Take the square root of each side:
p = {-4.5, 4.5}