3p^2+28p+32=0

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Solution for 3p^2+28p+32=0 equation:


Simplifying
3p2 + 28p + 32 = 0

Reorder the terms:
32 + 28p + 3p2 = 0

Solving
32 + 28p + 3p2 = 0

Solving for variable 'p'.

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

Subproblem 1

Set the factor '(8 + p)' equal to zero and attempt to solve: Simplifying 8 + p = 0 Solving 8 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8

Subproblem 2

Set the factor '(4 + 3p)' equal to zero and attempt to solve: Simplifying 4 + 3p = 0 Solving 4 + 3p = 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 + 3p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3p = 0 + -4 3p = 0 + -4 Combine like terms: 0 + -4 = -4 3p = -4 Divide each side by '3'. p = -1.333333333 Simplifying p = -1.333333333

Solution

p = {-8, -1.333333333}

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