9p^2+21p+8=-2

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Solution for 9p^2+21p+8=-2 equation:


Simplifying
9p2 + 21p + 8 = -2

Reorder the terms:
8 + 21p + 9p2 = -2

Solving
8 + 21p + 9p2 = -2

Solving for variable 'p'.

Reorder the terms:
8 + 2 + 21p + 9p2 = -2 + 2

Combine like terms: 8 + 2 = 10
10 + 21p + 9p2 = -2 + 2

Combine like terms: -2 + 2 = 0
10 + 21p + 9p2 = 0

Factor a trinomial.
(5 + 3p)(2 + 3p) = 0

Subproblem 1

Set the factor '(5 + 3p)' equal to zero and attempt to solve: Simplifying 5 + 3p = 0 Solving 5 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3p = 0 + -5 3p = 0 + -5 Combine like terms: 0 + -5 = -5 3p = -5 Divide each side by '3'. p = -1.666666667 Simplifying p = -1.666666667

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 = {-1.666666667, -0.6666666667}

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