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

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

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

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

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

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

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

Solving
-42 + 42p2 = 0

Solving for variable 'p'.

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

Add '42' to each side of the equation.
-42 + 42 + 42p2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 42p2 = 0 + 42
42p2 = 0 + 42

Combine like terms: 0 + 42 = 42
42p2 = 42

Divide each side by '42'.
p2 = 1

Simplifying
p2 = 1

Take the square root of each side:
p = {-1, 1}