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Simplifying 4n2 + -7n + -135 = 0 Reorder the terms: -135 + -7n + 4n2 = 0 Solving -135 + -7n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (-5 + -1n)(27 + -4n) = 0Subproblem 1
Set the factor '(-5 + -1n)' equal to zero and attempt to solve: Simplifying -5 + -1n = 0 Solving -5 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 0 + 5 -1n = 0 + 5 Combine like terms: 0 + 5 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5Subproblem 2
Set the factor '(27 + -4n)' equal to zero and attempt to solve: Simplifying 27 + -4n = 0 Solving 27 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -4n = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -4n = 0 + -27 -4n = 0 + -27 Combine like terms: 0 + -27 = -27 -4n = -27 Divide each side by '-4'. n = 6.75 Simplifying n = 6.75Solution
n = {-5, 6.75}
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