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Simplifying 9n2 + -3n = 3n Reorder the terms: -3n + 9n2 = 3n Solving -3n + 9n2 = 3n Solving for variable 'n'. Reorder the terms: -3n + -3n + 9n2 = 3n + -3n Combine like terms: -3n + -3n = -6n -6n + 9n2 = 3n + -3n Combine like terms: 3n + -3n = 0 -6n + 9n2 = 0 Factor out the Greatest Common Factor (GCF), '3n'. 3n(-2 + 3n) = 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 '(-2 + 3n)' equal to zero and attempt to solve: Simplifying -2 + 3n = 0 Solving -2 + 3n = 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 + 3n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3n = 0 + 2 3n = 0 + 2 Combine like terms: 0 + 2 = 2 3n = 2 Divide each side by '3'. n = 0.6666666667 Simplifying n = 0.6666666667Solution
n = {0, 0.6666666667}
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