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Simplifying 10n2 + 72n = -14 Reorder the terms: 72n + 10n2 = -14 Solving 72n + 10n2 = -14 Solving for variable 'n'. Reorder the terms: 14 + 72n + 10n2 = -14 + 14 Combine like terms: -14 + 14 = 0 14 + 72n + 10n2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 36n + 5n2) = 0 Factor a trinomial. 2((7 + n)(1 + 5n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + n)' equal to zero and attempt to solve: Simplifying 7 + n = 0 Solving 7 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + n = 0 + -7 n = 0 + -7 Combine like terms: 0 + -7 = -7 n = -7 Simplifying n = -7Subproblem 2
Set the factor '(1 + 5n)' equal to zero and attempt to solve: Simplifying 1 + 5n = 0 Solving 1 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5n = 0 + -1 5n = 0 + -1 Combine like terms: 0 + -1 = -1 5n = -1 Divide each side by '5'. n = -0.2 Simplifying n = -0.2Solution
n = {-7, -0.2}
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