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Simplifying 3n2 + -6n + -48 = 4n Reorder the terms: -48 + -6n + 3n2 = 4n Solving -48 + -6n + 3n2 = 4n Solving for variable 'n'. Reorder the terms: -48 + -6n + -4n + 3n2 = 4n + -4n Combine like terms: -6n + -4n = -10n -48 + -10n + 3n2 = 4n + -4n Combine like terms: 4n + -4n = 0 -48 + -10n + 3n2 = 0 Factor a trinomial. (-8 + -3n)(6 + -1n) = 0Subproblem 1
Set the factor '(-8 + -3n)' equal to zero and attempt to solve: Simplifying -8 + -3n = 0 Solving -8 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3n = 0 + 8 -3n = 0 + 8 Combine like terms: 0 + 8 = 8 -3n = 8 Divide each side by '-3'. n = -2.666666667 Simplifying n = -2.666666667Subproblem 2
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 = 6Solution
n = {-2.666666667, 6}
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