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Simplifying 6n2 + 11n + -95 = 0 Reorder the terms: -95 + 11n + 6n2 = 0 Solving -95 + 11n + 6n2 = 0 Solving for variable 'n'. Factor a trinomial. (-5 + -1n)(19 + -6n) = 0Subproblem 1
Set the factor '(-5 + -1n)' equal to zero and attempt to solve: Simplifying -5 + -1n = 0 Solving -5 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 0 + 5 -1n = 0 + 5 Combine like terms: 0 + 5 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5Subproblem 2
Set the factor '(19 + -6n)' equal to zero and attempt to solve: Simplifying 19 + -6n = 0 Solving 19 + -6n = 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 + -6n = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -6n = 0 + -19 -6n = 0 + -19 Combine like terms: 0 + -19 = -19 -6n = -19 Divide each side by '-6'. n = 3.166666667 Simplifying n = 3.166666667Solution
n = {-5, 3.166666667}
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