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Simplifying 9n + -6n3 = 0 Solving 9n + -6n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(3 + -2n2) = 0 Ignore the factor 3.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 '(3 + -2n2)' equal to zero and attempt to solve: Simplifying 3 + -2n2 = 0 Solving 3 + -2n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2n2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2n2 = 0 + -3 -2n2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2n2 = -3 Divide each side by '-2'. n2 = 1.5 Simplifying n2 = 1.5 Take the square root of each side: n = {-1.224744871, 1.224744871}Solution
n = {0, -1.224744871, 1.224744871}
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