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Simplifying -6n2 + -17n + 28 = 0 Reorder the terms: 28 + -17n + -6n2 = 0 Solving 28 + -17n + -6n2 = 0 Solving for variable 'n'. Factor a trinomial. (7 + -6n)(4 + n) = 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 '(4 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 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 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Simplifying n = -4Solution
n = {1.166666667, -4}
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