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Simplifying 12n2 + -16n + 5 = 0 Reorder the terms: 5 + -16n + 12n2 = 0 Solving 5 + -16n + 12n2 = 0 Solving for variable 'n'. Factor a trinomial. (1 + -2n)(5 + -6n) = 0Subproblem 1
Set the factor '(1 + -2n)' equal to zero and attempt to solve: Simplifying 1 + -2n = 0 Solving 1 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = 0 + -1 -2n = 0 + -1 Combine like terms: 0 + -1 = -1 -2n = -1 Divide each side by '-2'. n = 0.5 Simplifying n = 0.5Subproblem 2
Set the factor '(5 + -6n)' equal to zero and attempt to solve: Simplifying 5 + -6n = 0 Solving 5 + -6n = 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 + -6n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6n = 0 + -5 -6n = 0 + -5 Combine like terms: 0 + -5 = -5 -6n = -5 Divide each side by '-6'. n = 0.8333333333 Simplifying n = 0.8333333333Solution
n = {0.5, 0.8333333333}
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