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Simplifying -6n(2n + -5) = 0 Reorder the terms: -6n(-5 + 2n) = 0 (-5 * -6n + 2n * -6n) = 0 (30n + -12n2) = 0 Solving 30n + -12n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '6n'. 6n(5 + -2n) = 0 Ignore the factor 6.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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