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Simplifying -7n + -9n(n + -5) = 0 Reorder the terms: -7n + -9n(-5 + n) = 0 -7n + (-5 * -9n + n * -9n) = 0 -7n + (45n + -9n2) = 0 Combine like terms: -7n + 45n = 38n 38n + -9n2 = 0 Solving 38n + -9n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(38 + -9n) = 0Subproblem 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 '(38 + -9n)' equal to zero and attempt to solve: Simplifying 38 + -9n = 0 Solving 38 + -9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -9n = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -9n = 0 + -38 -9n = 0 + -38 Combine like terms: 0 + -38 = -38 -9n = -38 Divide each side by '-9'. n = 4.222222222 Simplifying n = 4.222222222Solution
n = {0, 4.222222222}
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