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Simplifying 5n(n + -10) = 0 Reorder the terms: 5n(-10 + n) = 0 (-10 * 5n + n * 5n) = 0 (-50n + 5n2) = 0 Solving -50n + 5n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5n'. 5n(-10 + n) = 0 Ignore the factor 5.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 '(-10 + n)' equal to zero and attempt to solve: Simplifying -10 + n = 0 Solving -10 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + n = 0 + 10 n = 0 + 10 Combine like terms: 0 + 10 = 10 n = 10 Simplifying n = 10Solution
n = {0, 10}
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