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Simplifying 21n2 + -41n + 18 = 0 Reorder the terms: 18 + -41n + 21n2 = 0 Solving 18 + -41n + 21n2 = 0 Solving for variable 'n'. Factor a trinomial. (2 + -3n)(9 + -7n) = 0Subproblem 1
Set the factor '(2 + -3n)' equal to zero and attempt to solve: Simplifying 2 + -3n = 0 Solving 2 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = 0 + -2 -3n = 0 + -2 Combine like terms: 0 + -2 = -2 -3n = -2 Divide each side by '-3'. n = 0.6666666667 Simplifying n = 0.6666666667Subproblem 2
Set the factor '(9 + -7n)' equal to zero and attempt to solve: Simplifying 9 + -7n = 0 Solving 9 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7n = 0 + -9 -7n = 0 + -9 Combine like terms: 0 + -9 = -9 -7n = -9 Divide each side by '-7'. n = 1.285714286 Simplifying n = 1.285714286Solution
n = {0.6666666667, 1.285714286}
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