28p^2+164p+123=3

Solution for 28p^2+164p+123=3 equation:

Simplifying
28p2 + 164p + 123 = 3

Reorder the terms:
123 + 164p + 28p2 = 3

Solving
123 + 164p + 28p2 = 3

Solving for variable 'p'.

Reorder the terms:
123 + -3 + 164p + 28p2 = 3 + -3

Combine like terms: 123 + -3 = 120
120 + 164p + 28p2 = 3 + -3

Combine like terms: 3 + -3 = 0
120 + 164p + 28p2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(30 + 41p + 7p2) = 0

Factor a trinomial.
4((5 + p)(6 + 7p)) = 0

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

Simplifying
5 + p = 0

Solving
5 + p = 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 + p = 0 + -5

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

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

Simplifying
p = -5
Subproblem 2
Set the factor '(6 + 7p)' equal to zero and attempt to solve:

Simplifying
6 + 7p = 0

Solving
6 + 7p = 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 + 7p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7p = 0 + -6
7p = 0 + -6

Combine like terms: 0 + -6 = -6
7p = -6

Divide each side by '7'.
p = -0.8571428571

Simplifying
p = -0.8571428571
Solution
p = {-5, -0.8571428571}