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Simplifying 4n(-9n + 4) = 0 Reorder the terms: 4n(4 + -9n) = 0 (4 * 4n + -9n * 4n) = 0 (16n + -36n2) = 0 Solving 16n + -36n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '4n'. 4n(4 + -9n) = 0 Ignore the factor 4.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 '(4 + -9n)' equal to zero and attempt to solve: Simplifying 4 + -9n = 0 Solving 4 + -9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9n = 0 + -4 -9n = 0 + -4 Combine like terms: 0 + -4 = -4 -9n = -4 Divide each side by '-9'. n = 0.4444444444 Simplifying n = 0.4444444444Solution
n = {0, 0.4444444444}
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