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Simplifying 24n2 + 34n + -3 = 0 Reorder the terms: -3 + 34n + 24n2 = 0 Solving -3 + 34n + 24n2 = 0 Solving for variable 'n'. Factor a trinomial. (-3 + -2n)(1 + -12n) = 0Subproblem 1
Set the factor '(-3 + -2n)' equal to zero and attempt to solve: Simplifying -3 + -2n = 0 Solving -3 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2n = 0 + 3 -2n = 0 + 3 Combine like terms: 0 + 3 = 3 -2n = 3 Divide each side by '-2'. n = -1.5 Simplifying n = -1.5Subproblem 2
Set the factor '(1 + -12n)' equal to zero and attempt to solve: Simplifying 1 + -12n = 0 Solving 1 + -12n = 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 + -12n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12n = 0 + -1 -12n = 0 + -1 Combine like terms: 0 + -1 = -1 -12n = -1 Divide each side by '-12'. n = 0.08333333333 Simplifying n = 0.08333333333Solution
n = {-1.5, 0.08333333333}
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