20p^2+33p+16=6

Solution for 20p^2+33p+16=6 equation:

Simplifying
20p2 + 33p + 16 = 6

Reorder the terms:
16 + 33p + 20p2 = 6

Solving
16 + 33p + 20p2 = 6

Solving for variable 'p'.

Reorder the terms:
16 + -6 + 33p + 20p2 = 6 + -6

Combine like terms: 16 + -6 = 10
10 + 33p + 20p2 = 6 + -6

Combine like terms: 6 + -6 = 0
10 + 33p + 20p2 = 0

Factor a trinomial.
(5 + 4p)(2 + 5p) = 0

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

Simplifying
5 + 4p = 0

Solving
5 + 4p = 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 + 4p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4p = 0 + -5
4p = 0 + -5

Combine like terms: 0 + -5 = -5
4p = -5

Divide each side by '4'.
p = -1.25

Simplifying
p = -1.25
Subproblem 2
Set the factor '(2 + 5p)' equal to zero and attempt to solve:

Simplifying
2 + 5p = 0

Solving
2 + 5p = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5p = 0 + -2
5p = 0 + -2

Combine like terms: 0 + -2 = -2
5p = -2

Divide each side by '5'.
p = -0.4

Simplifying
p = -0.4
Solution
p = {-1.25, -0.4}