3p^2=-8p-4

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Solution for 3p^2=-8p-4 equation:


Simplifying
3p2 = -8p + -4

Reorder the terms:
3p2 = -4 + -8p

Solving
3p2 = -4 + -8p

Solving for variable 'p'.

Reorder the terms:
4 + 8p + 3p2 = -4 + -8p + 4 + 8p

Reorder the terms:
4 + 8p + 3p2 = -4 + 4 + -8p + 8p

Combine like terms: -4 + 4 = 0
4 + 8p + 3p2 = 0 + -8p + 8p
4 + 8p + 3p2 = -8p + 8p

Combine like terms: -8p + 8p = 0
4 + 8p + 3p2 = 0

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

Subproblem 1

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

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 = {-2, -0.6666666667}

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