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Simplifying 0 = -7n2 + -42n Reorder the terms: 0 = -42n + -7n2 Solving 0 = -42n + -7n2 Solving for variable 'n'. Remove the zero: 42n + 7n2 = -42n + -7n2 + 42n + 7n2 Reorder the terms: 42n + 7n2 = -42n + 42n + -7n2 + 7n2 Combine like terms: -42n + 42n = 0 42n + 7n2 = 0 + -7n2 + 7n2 42n + 7n2 = -7n2 + 7n2 Combine like terms: -7n2 + 7n2 = 0 42n + 7n2 = 0 Factor out the Greatest Common Factor (GCF), '7n'. 7n(6 + n) = 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 '(6 + n)' equal to zero and attempt to solve: Simplifying 6 + n = 0 Solving 6 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + n = 0 + -6 n = 0 + -6 Combine like terms: 0 + -6 = -6 n = -6 Simplifying n = -6Solution
n = {0, -6}
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