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Simplifying 4n2 + -21n + 18 = -2 Reorder the terms: 18 + -21n + 4n2 = -2 Solving 18 + -21n + 4n2 = -2 Solving for variable 'n'. Reorder the terms: 18 + 2 + -21n + 4n2 = -2 + 2 Combine like terms: 18 + 2 = 20 20 + -21n + 4n2 = -2 + 2 Combine like terms: -2 + 2 = 0 20 + -21n + 4n2 = 0 Factor a trinomial. (5 + -4n)(4 + -1n) = 0Subproblem 1
Set the factor '(5 + -4n)' equal to zero and attempt to solve: Simplifying 5 + -4n = 0 Solving 5 + -4n = 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 + -4n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4n = 0 + -5 -4n = 0 + -5 Combine like terms: 0 + -5 = -5 -4n = -5 Divide each side by '-4'. n = 1.25 Simplifying n = 1.25Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4Solution
n = {1.25, 4}
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