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Simplifying -36n9 + -48n8 + -16n7 = 0 Reorder the terms: -16n7 + -48n8 + -36n9 = 0 Solving -16n7 + -48n8 + -36n9 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-4n7'. -4n7(4 + 12n + 9n2) = 0 Factor a trinomial. -4n7((2 + 3n)(2 + 3n)) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'n7' equal to zero and attempt to solve: Simplifying n7 = 0 Solving n7 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n7 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + 3n)' equal to zero and attempt to solve: Simplifying 2 + 3n = 0 Solving 2 + 3n = 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 + 3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 0 + -2 3n = 0 + -2 Combine like terms: 0 + -2 = -2 3n = -2 Divide each side by '3'. n = -0.6666666667 Simplifying n = -0.6666666667Subproblem 3
Set the factor '(2 + 3n)' equal to zero and attempt to solve: Simplifying 2 + 3n = 0 Solving 2 + 3n = 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 + 3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 0 + -2 3n = 0 + -2 Combine like terms: 0 + -2 = -2 3n = -2 Divide each side by '3'. n = -0.6666666667 Simplifying n = -0.6666666667Solution
n = {-0.6666666667, -0.6666666667}
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