(2p-3)(2p+3)=7

Solution for (2p-3)(2p+3)=7 equation:

Simplifying
(2p + -3)(2p + 3) = 7

Reorder the terms:
(-3 + 2p)(2p + 3) = 7

Reorder the terms:
(-3 + 2p)(3 + 2p) = 7

Multiply (-3 + 2p) * (3 + 2p)
(-3(3 + 2p) + 2p * (3 + 2p)) = 7
((3 * -3 + 2p * -3) + 2p * (3 + 2p)) = 7
((-9 + -6p) + 2p * (3 + 2p)) = 7
(-9 + -6p + (3 * 2p + 2p * 2p)) = 7
(-9 + -6p + (6p + 4p2)) = 7

Combine like terms: -6p + 6p = 0
(-9 + 0 + 4p2) = 7
(-9 + 4p2) = 7

Solving
-9 + 4p2 = 7

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 + 4p2 = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 4p2 = 7 + 9
4p2 = 7 + 9

Combine like terms: 7 + 9 = 16
4p2 = 16

Divide each side by '4'.
p2 = 4

Simplifying
p2 = 4

Take the square root of each side:
p = {-2, 2}