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Simplifying 12n2 + 17n + -7 = 0 Reorder the terms: -7 + 17n + 12n2 = 0 Solving -7 + 17n + 12n2 = 0 Solving for variable 'n'. Factor a trinomial. (-7 + -4n)(1 + -3n) = 0Subproblem 1
Set the factor '(-7 + -4n)' equal to zero and attempt to solve: Simplifying -7 + -4n = 0 Solving -7 + -4n = 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 + -4n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4n = 0 + 7 -4n = 0 + 7 Combine like terms: 0 + 7 = 7 -4n = 7 Divide each side by '-4'. n = -1.75 Simplifying n = -1.75Subproblem 2
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 = 0.3333333333Solution
n = {-1.75, 0.3333333333}
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