p(p-14)=15

Solution for p(p-14)=15 equation:

Simplifying
p(p + -14) = 15

Reorder the terms:
p(-14 + p) = 15
(-14 * p + p * p) = 15
(-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.
(-1 + -1p)(15 + -1p) = 0

Subproblem 1
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
Subproblem 2
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
Solution
p = {-1, 15}