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

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

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

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

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

Multiply (-7 + 2p) * (7 + 2p)
0 = (-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))

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

Solving
0 = -49 + 4p2

Solving for variable 'p'.

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

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

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