(7p+6)(7p-6)=0

Solution for (7p+6)(7p-6)=0 equation:

Simplifying
(7p + 6)(7p + -6) = 0

Reorder the terms:
(6 + 7p)(7p + -6) = 0

Reorder the terms:
(6 + 7p)(-6 + 7p) = 0

Multiply (6 + 7p) * (-6 + 7p)
(6(-6 + 7p) + 7p * (-6 + 7p)) = 0
((-6 * 6 + 7p * 6) + 7p * (-6 + 7p)) = 0
((-36 + 42p) + 7p * (-6 + 7p)) = 0
(-36 + 42p + (-6 * 7p + 7p * 7p)) = 0
(-36 + 42p + (-42p + 49p2)) = 0

Combine like terms: 42p + -42p = 0
(-36 + 0 + 49p2) = 0
(-36 + 49p2) = 0

Solving
-36 + 49p2 = 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 + 49p2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 49p2 = 0 + 36
49p2 = 0 + 36

Combine like terms: 0 + 36 = 36
49p2 = 36

Divide each side by '49'.
p2 = 0.7346938776

Simplifying
p2 = 0.7346938776

Take the square root of each side:
p = {-0.857142857, 0.857142857}