p^2+14p=15

Solution for p^2+14p=15 equation:

Simplifying
p2 + 14p = 15

Reorder the terms:
14p + p2 = 15

Solving
14p + p2 = 15

Solving for variable 'p'.

Reorder the terms:
-15 + 14p + p2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 14p + p2 = 0

Factor a trinomial.
(-15 + -1p)(1 + -1p) = 0

Subproblem 1
Set the factor '(-15 + -1p)' equal to zero and attempt to solve:

Simplifying
-15 + -1p = 0

Solving
-15 + -1p = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1p = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1p = 0 + 15
-1p = 0 + 15

Combine like terms: 0 + 15 = 15
-1p = 15

Divide each side by '-1'.
p = -15

Simplifying
p = -15
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 = {-15, 1}