9n^2+33n+28=0

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Solution for 9n^2+33n+28=0 equation:


Simplifying
9n2 + 33n + 28 = 0

Reorder the terms:
28 + 33n + 9n2 = 0

Solving
28 + 33n + 9n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(7 + 3n)(4 + 3n) = 0

Subproblem 1

Set the factor '(7 + 3n)' equal to zero and attempt to solve: Simplifying 7 + 3n = 0 Solving 7 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3n = 0 + -7 3n = 0 + -7 Combine like terms: 0 + -7 = -7 3n = -7 Divide each side by '3'. n = -2.333333333 Simplifying n = -2.333333333

Subproblem 2

Set the factor '(4 + 3n)' equal to zero and attempt to solve: Simplifying 4 + 3n = 0 Solving 4 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3n = 0 + -4 3n = 0 + -4 Combine like terms: 0 + -4 = -4 3n = -4 Divide each side by '3'. n = -1.333333333 Simplifying n = -1.333333333

Solution

n = {-2.333333333, -1.333333333}

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