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Simplifying -138 + -5n = -3n2 Solving -138 + -5n = -3n2 Solving for variable 'n'. Combine like terms: -3n2 + 3n2 = 0 -138 + -5n + 3n2 = 0 Factor a trinomial. (-6 + -1n)(23 + -3n) = 0Subproblem 1
Set the factor '(-6 + -1n)' equal to zero and attempt to solve: Simplifying -6 + -1n = 0 Solving -6 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1n = 0 + 6 -1n = 0 + 6 Combine like terms: 0 + 6 = 6 -1n = 6 Divide each side by '-1'. n = -6 Simplifying n = -6Subproblem 2
Set the factor '(23 + -3n)' equal to zero and attempt to solve: Simplifying 23 + -3n = 0 Solving 23 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -3n = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -3n = 0 + -23 -3n = 0 + -23 Combine like terms: 0 + -23 = -23 -3n = -23 Divide each side by '-3'. n = 7.666666667 Simplifying n = 7.666666667Solution
n = {-6, 7.666666667}
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