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Simplifying 4n2 + -3n + -27 = 0 Reorder the terms: -27 + -3n + 4n2 = 0 Solving -27 + -3n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (-9 + -4n)(3 + -1n) = 0Subproblem 1
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 = -2.25Subproblem 2
Set the factor '(3 + -1n)' equal to zero and attempt to solve: Simplifying 3 + -1n = 0 Solving 3 + -1n = 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 + -1n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 0 + -3 -1n = 0 + -3 Combine like terms: 0 + -3 = -3 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3Solution
n = {-2.25, 3}
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