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Simplifying 10n2 + -35n = 65n Reorder the terms: -35n + 10n2 = 65n Solving -35n + 10n2 = 65n Solving for variable 'n'. Reorder the terms: -35n + -65n + 10n2 = 65n + -65n Combine like terms: -35n + -65n = -100n -100n + 10n2 = 65n + -65n Combine like terms: 65n + -65n = 0 -100n + 10n2 = 0 Factor out the Greatest Common Factor (GCF), '10n'. 10n(-10 + n) = 0 Ignore the factor 10.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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