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Simplifying 18n2 + 57n + -10 = 0 Reorder the terms: -10 + 57n + 18n2 = 0 Solving -10 + 57n + 18n2 = 0 Solving for variable 'n'. Factor a trinomial. (-10 + -3n)(1 + -6n) = 0Subproblem 1
Set the factor '(-10 + -3n)' equal to zero and attempt to solve: Simplifying -10 + -3n = 0 Solving -10 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3n = 0 + 10 -3n = 0 + 10 Combine like terms: 0 + 10 = 10 -3n = 10 Divide each side by '-3'. n = -3.333333333 Simplifying n = -3.333333333Subproblem 2
Set the factor '(1 + -6n)' equal to zero and attempt to solve: Simplifying 1 + -6n = 0 Solving 1 + -6n = 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 + -6n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6n = 0 + -1 -6n = 0 + -1 Combine like terms: 0 + -1 = -1 -6n = -1 Divide each side by '-6'. n = 0.1666666667 Simplifying n = 0.1666666667Solution
n = {-3.333333333, 0.1666666667}
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