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Simplifying 5n3 + -15n2 + -1890n = 0 Reorder the terms: -1890n + -15n2 + 5n3 = 0 Solving -1890n + -15n2 + 5n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5n'. 5n(-378 + -3n + n2) = 0 Factor a trinomial. 5n((-18 + -1n)(21 + -1n)) = 0 Ignore the factor 5.Subproblem 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 '(-18 + -1n)' equal to zero and attempt to solve: Simplifying -18 + -1n = 0 Solving -18 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1n = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1n = 0 + 18 -1n = 0 + 18 Combine like terms: 0 + 18 = 18 -1n = 18 Divide each side by '-1'. n = -18 Simplifying n = -18Subproblem 3
Set the factor '(21 + -1n)' equal to zero and attempt to solve: Simplifying 21 + -1n = 0 Solving 21 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1n = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1n = 0 + -21 -1n = 0 + -21 Combine like terms: 0 + -21 = -21 -1n = -21 Divide each side by '-1'. n = 21 Simplifying n = 21Solution
n = {0, -18, 21}
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