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Simplifying -3n(7n + -9) = 0 Reorder the terms: -3n(-9 + 7n) = 0 (-9 * -3n + 7n * -3n) = 0 (27n + -21n2) = 0 Solving 27n + -21n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(9 + -7n) = 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 '(9 + -7n)' equal to zero and attempt to solve: Simplifying 9 + -7n = 0 Solving 9 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7n = 0 + -9 -7n = 0 + -9 Combine like terms: 0 + -9 = -9 -7n = -9 Divide each side by '-7'. n = 1.285714286 Simplifying n = 1.285714286Solution
n = {0, 1.285714286}
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