(p-1)(p+6)=

Solution for (p-1)(p+6)= equation:

Simplifying
(p + -1)(p + 6) = 0

Reorder the terms:
(-1 + p)(p + 6) = 0

Reorder the terms:
(-1 + p)(6 + p) = 0

Multiply (-1 + p) * (6 + p)
(-1(6 + p) + p(6 + p)) = 0
((6 * -1 + p * -1) + p(6 + p)) = 0
((-6 + -1p) + p(6 + p)) = 0
(-6 + -1p + (6 * p + p * p)) = 0
(-6 + -1p + (6p + p2)) = 0

Combine like terms: -1p + 6p = 5p
(-6 + 5p + p2) = 0

Solving
-6 + 5p + p2 = 0

Solving for variable 'p'.

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

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

Simplifying
1 + -1p = 0

Solving
1 + -1p = 0

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

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

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

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

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

Simplifying
p = 1
Solution
p = {-6, 1}