5p^2-55p+150=

Solution for 5p^2-55p+150= equation:

Simplifying
5p2 + -55p + 150 = 0

Reorder the terms:
150 + -55p + 5p2 = 0

Solving
150 + -55p + 5p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '5'.
5(30 + -11p + p2) = 0

Factor a trinomial.
5((5 + -1p)(6 + -1p)) = 0

Ignore the factor 5.
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 '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {5, 6}