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Simplifying 21n2 + 34n = -8 Reorder the terms: 34n + 21n2 = -8 Solving 34n + 21n2 = -8 Solving for variable 'n'. Reorder the terms: 8 + 34n + 21n2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 34n + 21n2 = 0 Factor a trinomial. (4 + 3n)(2 + 7n) = 0Subproblem 1
Set the factor '(4 + 3n)' equal to zero and attempt to solve: Simplifying 4 + 3n = 0 Solving 4 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3n = 0 + -4 3n = 0 + -4 Combine like terms: 0 + -4 = -4 3n = -4 Divide each side by '3'. n = -1.333333333 Simplifying n = -1.333333333Subproblem 2
Set the factor '(2 + 7n)' equal to zero and attempt to solve: Simplifying 2 + 7n = 0 Solving 2 + 7n = 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 + 7n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7n = 0 + -2 7n = 0 + -2 Combine like terms: 0 + -2 = -2 7n = -2 Divide each side by '7'. n = -0.2857142857 Simplifying n = -0.2857142857Solution
n = {-1.333333333, -0.2857142857}
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