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Simplifying -8n2 + 46n + -63 = 0 Reorder the terms: -63 + 46n + -8n2 = 0 Solving -63 + 46n + -8n2 = 0 Solving for variable 'n'. Factor a trinomial. (-7 + 2n)(9 + -4n) = 0Subproblem 1
Set the factor '(-7 + 2n)' equal to zero and attempt to solve: Simplifying -7 + 2n = 0 Solving -7 + 2n = 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 + 2n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2n = 0 + 7 2n = 0 + 7 Combine like terms: 0 + 7 = 7 2n = 7 Divide each side by '2'. n = 3.5 Simplifying n = 3.5Subproblem 2
Set the factor '(9 + -4n)' equal to zero and attempt to solve: Simplifying 9 + -4n = 0 Solving 9 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4n = 0 + -9 -4n = 0 + -9 Combine like terms: 0 + -9 = -9 -4n = -9 Divide each side by '-4'. n = 2.25 Simplifying n = 2.25Solution
n = {3.5, 2.25}
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