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Simplifying 21n2 + -59n + 40 = 0 Reorder the terms: 40 + -59n + 21n2 = 0 Solving 40 + -59n + 21n2 = 0 Solving for variable 'n'. Factor a trinomial. (8 + -7n)(5 + -3n) = 0Subproblem 1
Set the factor '(8 + -7n)' equal to zero and attempt to solve: Simplifying 8 + -7n = 0 Solving 8 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7n = 0 + -8 -7n = 0 + -8 Combine like terms: 0 + -8 = -8 -7n = -8 Divide each side by '-7'. n = 1.142857143 Simplifying n = 1.142857143Subproblem 2
Set the factor '(5 + -3n)' equal to zero and attempt to solve: Simplifying 5 + -3n = 0 Solving 5 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3n = 0 + -5 -3n = 0 + -5 Combine like terms: 0 + -5 = -5 -3n = -5 Divide each side by '-3'. n = 1.666666667 Simplifying n = 1.666666667Solution
n = {1.142857143, 1.666666667}
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