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Simplifying 10n3 + 91n2 + -90n = 0 Reorder the terms: -90n + 91n2 + 10n3 = 0 Solving -90n + 91n2 + 10n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-90 + 91n + 10n2) = 0 Factor a trinomial. n((-10 + -1n)(9 + -10n)) = 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 + -1n)' equal to zero and attempt to solve: Simplifying -10 + -1n = 0 Solving -10 + -1n = 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 + -1n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1n = 0 + 10 -1n = 0 + 10 Combine like terms: 0 + 10 = 10 -1n = 10 Divide each side by '-1'. n = -10 Simplifying n = -10Subproblem 3
Set the factor '(9 + -10n)' equal to zero and attempt to solve: Simplifying 9 + -10n = 0 Solving 9 + -10n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -10n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10n = 0 + -9 -10n = 0 + -9 Combine like terms: 0 + -9 = -9 -10n = -9 Divide each side by '-10'. n = 0.9 Simplifying n = 0.9Solution
n = {0, -10, 0.9}
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