3p^2+13p+14=0

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Solution for 3p^2+13p+14=0 equation: 


Simplifying
3p2 + 13p + 14 = 0

Reorder the terms:
14 + 13p + 3p2 = 0

Solving
14 + 13p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(7 + 3p)(2 + p) = 0


Subproblem 1
Set the factor '(7 + 3p)' equal to zero and attempt to solve:

Simplifying
7 + 3p = 0

Solving
7 + 3p = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3p = 0 + -7
3p = 0 + -7

Combine like terms: 0 + -7 = -7
3p = -7

Divide each side by '3'.
p = -2.333333333

Simplifying
p = -2.333333333

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

Simplifying
2 + p = 0

Solving
2 + p = 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 + p = 0 + -2

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

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

Simplifying
p = -2
Solution
p = {-2.333333333, -2}

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