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Simplifying 0 = 6n2 + -43n Reorder the terms: 0 = -43n + 6n2 Solving 0 = -43n + 6n2 Solving for variable 'n'. Remove the zero: 43n + -6n2 = -43n + 6n2 + 43n + -6n2 Reorder the terms: 43n + -6n2 = -43n + 43n + 6n2 + -6n2 Combine like terms: -43n + 43n = 0 43n + -6n2 = 0 + 6n2 + -6n2 43n + -6n2 = 6n2 + -6n2 Combine like terms: 6n2 + -6n2 = 0 43n + -6n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(43 + -6n) = 0Subproblem 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 + -6n)' equal to zero and attempt to solve: Simplifying 43 + -6n = 0 Solving 43 + -6n = 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 + -6n = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -6n = 0 + -43 -6n = 0 + -43 Combine like terms: 0 + -43 = -43 -6n = -43 Divide each side by '-6'. n = 7.166666667 Simplifying n = 7.166666667Solution
n = {0, 7.166666667}
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