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Simplifying 3n2 = -1n + 14 Reorder the terms: 3n2 = 14 + -1n Solving 3n2 = 14 + -1n Solving for variable 'n'. Reorder the terms: -14 + n + 3n2 = 14 + -1n + -14 + n Reorder the terms: -14 + n + 3n2 = 14 + -14 + -1n + n Combine like terms: 14 + -14 = 0 -14 + n + 3n2 = 0 + -1n + n -14 + n + 3n2 = -1n + n Combine like terms: -1n + n = 0 -14 + n + 3n2 = 0 Factor a trinomial. (-7 + -3n)(2 + -1n) = 0Subproblem 1
Set the factor '(-7 + -3n)' equal to zero and attempt to solve: Simplifying -7 + -3n = 0 Solving -7 + -3n = 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 + -3n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3n = 0 + 7 -3n = 0 + 7 Combine like terms: 0 + 7 = 7 -3n = 7 Divide each side by '-3'. n = -2.333333333 Simplifying n = -2.333333333Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Solution
n = {-2.333333333, 2}
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