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Simplifying 9n3 + 44n2 + -60n = 0 Reorder the terms: -60n + 44n2 + 9n3 = 0 Solving -60n + 44n2 + 9n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-60 + 44n + 9n2) = 0 Factor a trinomial. n((-6 + -1n)(10 + -9n)) = 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 '(-6 + -1n)' equal to zero and attempt to solve: Simplifying -6 + -1n = 0 Solving -6 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1n = 0 + 6 -1n = 0 + 6 Combine like terms: 0 + 6 = 6 -1n = 6 Divide each side by '-1'. n = -6 Simplifying n = -6Subproblem 3
Set the factor '(10 + -9n)' equal to zero and attempt to solve: Simplifying 10 + -9n = 0 Solving 10 + -9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9n = 0 + -10 -9n = 0 + -10 Combine like terms: 0 + -10 = -10 -9n = -10 Divide each side by '-9'. n = 1.111111111 Simplifying n = 1.111111111Solution
n = {0, -6, 1.111111111}
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