p^2-25p+150=0

Solution for p^2-25p+150=0 equation:

Simplifying
p2 + -25p + 150 = 0

Reorder the terms:
150 + -25p + p2 = 0

Solving
150 + -25p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(10 + -1p)(15 + -1p) = 0

Subproblem 1
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
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 = {10, 15}