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Simplifying -18n2 + -15n + 7 = 0 Reorder the terms: 7 + -15n + -18n2 = 0 Solving 7 + -15n + -18n2 = 0 Solving for variable 'n'. Factor a trinomial. (1 + -3n)(7 + 6n) = 0Subproblem 1
Set the factor '(1 + -3n)' equal to zero and attempt to solve: Simplifying 1 + -3n = 0 Solving 1 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = 0 + -1 -3n = 0 + -1 Combine like terms: 0 + -1 = -1 -3n = -1 Divide each side by '-3'. n = 0.3333333333 Simplifying n = 0.3333333333Subproblem 2
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 = -1.166666667Solution
n = {0.3333333333, -1.166666667}
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