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Simplifying 24n2 + -14n + -3 = 0 Reorder the terms: -3 + -14n + 24n2 = 0 Solving -3 + -14n + 24n2 = 0 Solving for variable 'n'. Factor a trinomial. (-1 + -6n)(3 + -4n) = 0Subproblem 1
Set the factor '(-1 + -6n)' equal to zero and attempt to solve: Simplifying -1 + -6n = 0 Solving -1 + -6n = 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 + -6n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6n = 0 + 1 -6n = 0 + 1 Combine like terms: 0 + 1 = 1 -6n = 1 Divide each side by '-6'. n = -0.1666666667 Simplifying n = -0.1666666667Subproblem 2
Set the factor '(3 + -4n)' equal to zero and attempt to solve: Simplifying 3 + -4n = 0 Solving 3 + -4n = 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 + -4n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4n = 0 + -3 -4n = 0 + -3 Combine like terms: 0 + -3 = -3 -4n = -3 Divide each side by '-4'. n = 0.75 Simplifying n = 0.75Solution
n = {-0.1666666667, 0.75}
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