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Simplifying 24n2 + -38n = 77 Reorder the terms: -38n + 24n2 = 77 Solving -38n + 24n2 = 77 Solving for variable 'n'. Reorder the terms: -77 + -38n + 24n2 = 77 + -77 Combine like terms: 77 + -77 = 0 -77 + -38n + 24n2 = 0 Factor a trinomial. (-7 + -6n)(11 + -4n) = 0Subproblem 1
Set the factor '(-7 + -6n)' equal to zero and attempt to solve: Simplifying -7 + -6n = 0 Solving -7 + -6n = 0 Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -6n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6n = 0 + 7 -6n = 0 + 7 Combine like terms: 0 + 7 = 7 -6n = 7 Divide each side by '-6'. n = -1.166666667 Simplifying n = -1.166666667Subproblem 2
Set the factor '(11 + -4n)' equal to zero and attempt to solve: Simplifying 11 + -4n = 0 Solving 11 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4n = 0 + -11 -4n = 0 + -11 Combine like terms: 0 + -11 = -11 -4n = -11 Divide each side by '-4'. n = 2.75 Simplifying n = 2.75Solution
n = {-1.166666667, 2.75}
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