p^2-6p-36=4

Solution for p^2-6p-36=4 equation:

Simplifying
p2 + -6p + -36 = 4

Reorder the terms:
-36 + -6p + p2 = 4

Solving
-36 + -6p + p2 = 4

Solving for variable 'p'.

Reorder the terms:
-36 + -4 + -6p + p2 = 4 + -4

Combine like terms: -36 + -4 = -40
-40 + -6p + p2 = 4 + -4

Combine like terms: 4 + -4 = 0
-40 + -6p + p2 = 0

Factor a trinomial.
(-4 + -1p)(10 + -1p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(10 + -1p)' equal to zero and attempt to solve:

Simplifying
10 + -1p = 0

Solving
10 + -1p = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1p = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1p = 0 + -10
-1p = 0 + -10

Combine like terms: 0 + -10 = -10
-1p = -10

Divide each side by '-1'.
p = 10

Simplifying
p = 10
Solution
p = {-4, 10}