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Simplifying 0 = 10n2 + 71n Reorder the terms: 0 = 71n + 10n2 Solving 0 = 71n + 10n2 Solving for variable 'n'. Remove the zero: -71n + -10n2 = 71n + 10n2 + -71n + -10n2 Reorder the terms: -71n + -10n2 = 71n + -71n + 10n2 + -10n2 Combine like terms: 71n + -71n = 0 -71n + -10n2 = 0 + 10n2 + -10n2 -71n + -10n2 = 10n2 + -10n2 Combine like terms: 10n2 + -10n2 = 0 -71n + -10n2 = 0 Factor out the Greatest Common Factor (GCF), '-1n'. -1n(71 + 10n) = 0 Ignore the factor -1.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 '(71 + 10n)' equal to zero and attempt to solve: Simplifying 71 + 10n = 0 Solving 71 + 10n = 0 Move all terms containing n to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + -71 + 10n = 0 + -71 Combine like terms: 71 + -71 = 0 0 + 10n = 0 + -71 10n = 0 + -71 Combine like terms: 0 + -71 = -71 10n = -71 Divide each side by '10'. n = -7.1 Simplifying n = -7.1Solution
n = {0, -7.1}
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