p^2+12p=13

Solution for p^2+12p=13 equation:

Simplifying
p2 + 12p = 13

Reorder the terms:
12p + p2 = 13

Solving
12p + p2 = 13

Solving for variable 'p'.

Reorder the terms:
-13 + 12p + p2 = 13 + -13

Combine like terms: 13 + -13 = 0
-13 + 12p + p2 = 0

Factor a trinomial.
(-13 + -1p)(1 + -1p) = 0

Subproblem 1
Set the factor '(-13 + -1p)' equal to zero and attempt to solve:

Simplifying
-13 + -1p = 0

Solving
-13 + -1p = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1p = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1p = 0 + 13
-1p = 0 + 13

Combine like terms: 0 + 13 = 13
-1p = 13

Divide each side by '-1'.
p = -13

Simplifying
p = -13
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 = {-13, 1}