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Simplifying 6n3 + -23n2 + -35n = 0 Reorder the terms: -35n + -23n2 + 6n3 = 0 Solving -35n + -23n2 + 6n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-35 + -23n + 6n2) = 0 Factor a trinomial. n((-7 + -6n)(5 + -1n)) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-7 + -6n)' equal to zero and attempt to solve: Simplifying -7 + -6n = 0 Solving -7 + -6n = 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 + -6n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6n = 0 + 7 -6n = 0 + 7 Combine like terms: 0 + 7 = 7 -6n = 7 Divide each side by '-6'. n = -1.166666667 Simplifying n = -1.166666667Subproblem 3
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 = 5Solution
n = {0, -1.166666667, 5}
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