(4p-6)(4p+6)=

Solution for (4p-6)(4p+6)= equation:

Simplifying
(4p + -6)(4p + 6) = 0

Reorder the terms:
(-6 + 4p)(4p + 6) = 0

Reorder the terms:
(-6 + 4p)(6 + 4p) = 0

Multiply (-6 + 4p) * (6 + 4p)
(-6(6 + 4p) + 4p * (6 + 4p)) = 0
((6 * -6 + 4p * -6) + 4p * (6 + 4p)) = 0
((-36 + -24p) + 4p * (6 + 4p)) = 0
(-36 + -24p + (6 * 4p + 4p * 4p)) = 0
(-36 + -24p + (24p + 16p2)) = 0

Combine like terms: -24p + 24p = 0
(-36 + 0 + 16p2) = 0
(-36 + 16p2) = 0

Solving
-36 + 16p2 = 0

Solving for variable 'p'.

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

Add '36' to each side of the equation.
-36 + 36 + 16p2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 16p2 = 0 + 36
16p2 = 0 + 36

Combine like terms: 0 + 36 = 36
16p2 = 36

Divide each side by '16'.
p2 = 2.25

Simplifying
p2 = 2.25

Take the square root of each side:
p = {-1.5, 1.5}