p^2-p-18=-6

Solution for p^2-p-18=-6 equation:

Simplifying
p2 + -1p + -18 = -6

Reorder the terms:
-18 + -1p + p2 = -6

Solving
-18 + -1p + p2 = -6

Solving for variable 'p'.

Reorder the terms:
-18 + 6 + -1p + p2 = -6 + 6

Combine like terms: -18 + 6 = -12
-12 + -1p + p2 = -6 + 6

Combine like terms: -6 + 6 = 0
-12 + -1p + p2 = 0

Factor a trinomial.
(-3 + -1p)(4 + -1p) = 0

Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve:

Simplifying
-3 + -1p = 0

Solving
-3 + -1p = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3

Combine like terms: 0 + 3 = 3
-1p = 3

Divide each side by '-1'.
p = -3

Simplifying
p = -3
Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve:

Simplifying
4 + -1p = 0

Solving
4 + -1p = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 0 + -4
-1p = 0 + -4

Combine like terms: 0 + -4 = -4
-1p = -4

Divide each side by '-1'.
p = 4

Simplifying
p = 4
Solution
p = {-3, 4}