3p^2=-13p-4

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Solution for 3p^2=-13p-4 equation:


Simplifying
3p2 = -13p + -4

Reorder the terms:
3p2 = -4 + -13p

Solving
3p2 = -4 + -13p

Solving for variable 'p'.

Reorder the terms:
4 + 13p + 3p2 = -4 + -13p + 4 + 13p

Reorder the terms:
4 + 13p + 3p2 = -4 + 4 + -13p + 13p

Combine like terms: -4 + 4 = 0
4 + 13p + 3p2 = 0 + -13p + 13p
4 + 13p + 3p2 = -13p + 13p

Combine like terms: -13p + 13p = 0
4 + 13p + 3p2 = 0

Factor a trinomial.
(4 + p)(1 + 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 '(1 + 3p)' equal to zero and attempt to solve: Simplifying 1 + 3p = 0 Solving 1 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3p = 0 + -1 3p = 0 + -1 Combine like terms: 0 + -1 = -1 3p = -1 Divide each side by '3'. p = -0.3333333333 Simplifying p = -0.3333333333

Solution

p = {-4, -0.3333333333}

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