0=p^2-25p+150

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

Simplifying
0 = p2 + -25p + 150

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

Solving
0 = 150 + -25p + p2

Solving for variable 'p'.

Combine like terms: 0 + -150 = -150
-150 + 25p + -1p2 = 150 + -25p + p2 + -150 + 25p + -1p2

Reorder the terms:
-150 + 25p + -1p2 = 150 + -150 + -25p + 25p + p2 + -1p2

Combine like terms: 150 + -150 = 0
-150 + 25p + -1p2 = 0 + -25p + 25p + p2 + -1p2
-150 + 25p + -1p2 = -25p + 25p + p2 + -1p2

Combine like terms: -25p + 25p = 0
-150 + 25p + -1p2 = 0 + p2 + -1p2
-150 + 25p + -1p2 = p2 + -1p2

Combine like terms: p2 + -1p2 = 0
-150 + 25p + -1p2 = 0

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

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

Simplifying
-15 + p = 0

Solving
-15 + p = 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 + p = 0 + 15

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

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

Simplifying
p = 15
Subproblem 2
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
Solution
p = {15, 10}