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Simplifying 36n2 + -69n + 28 = 0 Reorder the terms: 28 + -69n + 36n2 = 0 Solving 28 + -69n + 36n2 = 0 Solving for variable 'n'. Factor a trinomial. (7 + -12n)(4 + -3n) = 0Subproblem 1
Set the factor '(7 + -12n)' equal to zero and attempt to solve: Simplifying 7 + -12n = 0 Solving 7 + -12n = 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 + -12n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -12n = 0 + -7 -12n = 0 + -7 Combine like terms: 0 + -7 = -7 -12n = -7 Divide each side by '-12'. n = 0.5833333333 Simplifying n = 0.5833333333Subproblem 2
Set the factor '(4 + -3n)' equal to zero and attempt to solve: Simplifying 4 + -3n = 0 Solving 4 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = 0 + -4 -3n = 0 + -4 Combine like terms: 0 + -4 = -4 -3n = -4 Divide each side by '-3'. n = 1.333333333 Simplifying n = 1.333333333Solution
n = {0.5833333333, 1.333333333}
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