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Simplifying 0 = 7n2 + 43n Reorder the terms: 0 = 43n + 7n2 Solving 0 = 43n + 7n2 Solving for variable 'n'. Remove the zero: -43n + -7n2 = 43n + 7n2 + -43n + -7n2 Reorder the terms: -43n + -7n2 = 43n + -43n + 7n2 + -7n2 Combine like terms: 43n + -43n = 0 -43n + -7n2 = 0 + 7n2 + -7n2 -43n + -7n2 = 7n2 + -7n2 Combine like terms: 7n2 + -7n2 = 0 -43n + -7n2 = 0 Factor out the Greatest Common Factor (GCF), '-1n'. -1n(43 + 7n) = 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 '(43 + 7n)' equal to zero and attempt to solve: Simplifying 43 + 7n = 0 Solving 43 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 7n = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 7n = 0 + -43 7n = 0 + -43 Combine like terms: 0 + -43 = -43 7n = -43 Divide each side by '7'. n = -6.142857143 Simplifying n = -6.142857143Solution
n = {0, -6.142857143}
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