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Simplifying 6n2 + -15n = 0 Reorder the terms: -15n + 6n2 = 0 Solving -15n + 6n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(-5 + 2n) = 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 '(-5 + 2n)' equal to zero and attempt to solve: Simplifying -5 + 2n = 0 Solving -5 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2n = 0 + 5 2n = 0 + 5 Combine like terms: 0 + 5 = 5 2n = 5 Divide each side by '2'. n = 2.5 Simplifying n = 2.5Solution
n = {0, 2.5}
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