(4p+3)(4p-3)=

Solution for (4p+3)(4p-3)= equation:

Simplifying
(4p + 3)(4p + -3) = 0

Reorder the terms:
(3 + 4p)(4p + -3) = 0

Reorder the terms:
(3 + 4p)(-3 + 4p) = 0

Multiply (3 + 4p) * (-3 + 4p)
(3(-3 + 4p) + 4p * (-3 + 4p)) = 0
((-3 * 3 + 4p * 3) + 4p * (-3 + 4p)) = 0
((-9 + 12p) + 4p * (-3 + 4p)) = 0
(-9 + 12p + (-3 * 4p + 4p * 4p)) = 0
(-9 + 12p + (-12p + 16p2)) = 0

Combine like terms: 12p + -12p = 0
(-9 + 0 + 16p2) = 0
(-9 + 16p2) = 0

Solving
-9 + 16p2 = 0

Solving for variable 'p'.

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

Add '9' to each side of the equation.
-9 + 9 + 16p2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 16p2 = 0 + 9
16p2 = 0 + 9

Combine like terms: 0 + 9 = 9
16p2 = 9

Divide each side by '16'.
p2 = 0.5625

Simplifying
p2 = 0.5625

Take the square root of each side:
p = {-0.75, 0.75}