(p-6)(p+7)=

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

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

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

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

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

Combine like terms: -6p + 7p = 1p
(-42 + 1p + p2) = 0

Solving
-42 + 1p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-7 + -1p)(6 + -1p) = 0

Subproblem 1
Set the factor '(-7 + -1p)' equal to zero and attempt to solve:

Simplifying
-7 + -1p = 0

Solving
-7 + -1p = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1p = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1p = 0 + 7
-1p = 0 + 7

Combine like terms: 0 + 7 = 7
-1p = 7

Divide each side by '-1'.
p = -7

Simplifying
p = -7
Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {-7, 6}