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Simplifying 2n3 + 24n2 + -56n = 0 Reorder the terms: -56n + 24n2 + 2n3 = 0 Solving -56n + 24n2 + 2n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(-28 + 12n + n2) = 0 Factor a trinomial. 2n((-14 + -1n)(2 + -1n)) = 0 Ignore the factor 2.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 '(-14 + -1n)' equal to zero and attempt to solve: Simplifying -14 + -1n = 0 Solving -14 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1n = 0 + 14 -1n = 0 + 14 Combine like terms: 0 + 14 = 14 -1n = 14 Divide each side by '-1'. n = -14 Simplifying n = -14Subproblem 3
Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Solution
n = {0, -14, 2}
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