3n^2-17n-228=0

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Solution for 3n^2-17n-228=0 equation:


Simplifying
3n2 + -17n + -228 = 0

Reorder the terms:
-228 + -17n + 3n2 = 0

Solving
-228 + -17n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-19 + -3n)(12 + -1n) = 0

Subproblem 1

Set the factor '(-19 + -3n)' equal to zero and attempt to solve: Simplifying -19 + -3n = 0 Solving -19 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -3n = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -3n = 0 + 19 -3n = 0 + 19 Combine like terms: 0 + 19 = 19 -3n = 19 Divide each side by '-3'. n = -6.333333333 Simplifying n = -6.333333333

Subproblem 2

Set the factor '(12 + -1n)' equal to zero and attempt to solve: Simplifying 12 + -1n = 0 Solving 12 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = 0 + -12 -1n = 0 + -12 Combine like terms: 0 + -12 = -12 -1n = -12 Divide each side by '-1'. n = 12 Simplifying n = 12

Solution

n = {-6.333333333, 12}

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