3p^2+17p+20=0

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Solution for 3p^2+17p+20=0 equation: 


Simplifying
3p2 + 17p + 20 = 0

Reorder the terms:
20 + 17p + 3p2 = 0

Solving
20 + 17p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(4 + p)(5 + 3p) = 0


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

Simplifying
4 + p = 0

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

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

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

Simplifying
p = -4

Subproblem 2
Set the factor '(5 + 3p)' equal to zero and attempt to solve:

Simplifying
5 + 3p = 0

Solving
5 + 3p = 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 + 3p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3p = 0 + -5
3p = 0 + -5

Combine like terms: 0 + -5 = -5
3p = -5

Divide each side by '3'.
p = -1.666666667

Simplifying
p = -1.666666667
Solution
p = {-4, -1.666666667}

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