(2p+7)(2p-7)=

Solution for (2p+7)(2p-7)= equation:

Simplifying
(2p + 7)(2p + -7) = 0

Reorder the terms:
(7 + 2p)(2p + -7) = 0

Reorder the terms:
(7 + 2p)(-7 + 2p) = 0

Multiply (7 + 2p) * (-7 + 2p)
(7(-7 + 2p) + 2p * (-7 + 2p)) = 0
((-7 * 7 + 2p * 7) + 2p * (-7 + 2p)) = 0
((-49 + 14p) + 2p * (-7 + 2p)) = 0
(-49 + 14p + (-7 * 2p + 2p * 2p)) = 0
(-49 + 14p + (-14p + 4p2)) = 0

Combine like terms: 14p + -14p = 0
(-49 + 0 + 4p2) = 0
(-49 + 4p2) = 0

Solving
-49 + 4p2 = 0

Solving for variable 'p'.

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

Add '49' to each side of the equation.
-49 + 49 + 4p2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4p2 = 0 + 49
4p2 = 0 + 49

Combine like terms: 0 + 49 = 49
4p2 = 49

Divide each side by '4'.
p2 = 12.25

Simplifying
p2 = 12.25

Take the square root of each side:
p = {-3.5, 3.5}