p^2-15p=100

Solution for p^2-15p=100 equation:

Simplifying
p2 + -15p = 100

Reorder the terms:
-15p + p2 = 100

Solving
-15p + p2 = 100

Solving for variable 'p'.

Reorder the terms:
-100 + -15p + p2 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + -15p + p2 = 0

Factor a trinomial.
(-5 + -1p)(20 + -1p) = 0

Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve:

Simplifying
-5 + -1p = 0

Solving
-5 + -1p = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1p = 0 + 5
-1p = 0 + 5

Combine like terms: 0 + 5 = 5
-1p = 5

Divide each side by '-1'.
p = -5

Simplifying
p = -5
Subproblem 2
Set the factor '(20 + -1p)' equal to zero and attempt to solve:

Simplifying
20 + -1p = 0

Solving
20 + -1p = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1p = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1p = 0 + -20
-1p = 0 + -20

Combine like terms: 0 + -20 = -20
-1p = -20

Divide each side by '-1'.
p = 20

Simplifying
p = 20
Solution
p = {-5, 20}