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Simplifying 77n2 + 70n = 0 Reorder the terms: 70n + 77n2 = 0 Solving 70n + 77n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '7n'. 7n(10 + 11n) = 0 Ignore the factor 7.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 + 11n)' equal to zero and attempt to solve: Simplifying 10 + 11n = 0 Solving 10 + 11n = 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 + 11n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11n = 0 + -10 11n = 0 + -10 Combine like terms: 0 + -10 = -10 11n = -10 Divide each side by '11'. n = -0.9090909091 Simplifying n = -0.9090909091Solution
n = {0, -0.9090909091}
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