3p^2+14p+8=0

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Solution for 3p^2+14p+8=0 equation:


Simplifying
3p2 + 14p + 8 = 0

Reorder the terms:
8 + 14p + 3p2 = 0

Solving
8 + 14p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(4 + p)(2 + 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 '(2 + 3p)' equal to zero and attempt to solve: Simplifying 2 + 3p = 0 Solving 2 + 3p = 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 + 3p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3p = 0 + -2 3p = 0 + -2 Combine like terms: 0 + -2 = -2 3p = -2 Divide each side by '3'. p = -0.6666666667 Simplifying p = -0.6666666667

Solution

p = {-4, -0.6666666667}

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