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Simplifying 6n2 + 7n + -98 = 0 Reorder the terms: -98 + 7n + 6n2 = 0 Solving -98 + 7n + 6n2 = 0 Solving for variable 'n'. Factor a trinomial. (-14 + -3n)(7 + -2n) = 0Subproblem 1
Set the factor '(-14 + -3n)' equal to zero and attempt to solve: Simplifying -14 + -3n = 0 Solving -14 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3n = 0 + 14 -3n = 0 + 14 Combine like terms: 0 + 14 = 14 -3n = 14 Divide each side by '-3'. n = -4.666666667 Simplifying n = -4.666666667Subproblem 2
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 = 3.5Solution
n = {-4.666666667, 3.5}
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