5p^2-50p+123=3

Solution for 5p^2-50p+123=3 equation:

Simplifying
5p2 + -50p + 123 = 3

Reorder the terms:
123 + -50p + 5p2 = 3

Solving
123 + -50p + 5p2 = 3

Solving for variable 'p'.

Reorder the terms:
123 + -3 + -50p + 5p2 = 3 + -3

Combine like terms: 123 + -3 = 120
120 + -50p + 5p2 = 3 + -3

Combine like terms: 3 + -3 = 0
120 + -50p + 5p2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(24 + -10p + p2) = 0

Factor a trinomial.
5((4 + -1p)(6 + -1p)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(4 + -1p)' equal to zero and attempt to solve:

Simplifying
4 + -1p = 0

Solving
4 + -1p = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 0 + -4
-1p = 0 + -4

Combine like terms: 0 + -4 = -4
-1p = -4

Divide each side by '-1'.
p = 4

Simplifying
p = 4
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 = {4, 6}