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Simplifying -1n3 + 11n2 + -10n = 0 Reorder the terms: -10n + 11n2 + -1n3 = 0 Solving -10n + 11n2 + -1n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-10 + 11n + -1n2) = 0 Factor a trinomial. n((-10 + n)(1 + -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 '(-10 + n)' equal to zero and attempt to solve: Simplifying -10 + n = 0 Solving -10 + n = 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 + n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + n = 0 + 10 n = 0 + 10 Combine like terms: 0 + 10 = 10 n = 10 Simplifying n = 10Subproblem 3
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {0, 10, 1}
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