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Simplifying -36n2 + 156n + -160 = 0 Reorder the terms: -160 + 156n + -36n2 = 0 Solving -160 + 156n + -36n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '4'. 4(-40 + 39n + -9n2) = 0 Factor a trinomial. 4((-8 + 3n)(5 + -3n)) = 0 Ignore the factor 4.Subproblem 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 '(5 + -3n)' equal to zero and attempt to solve: Simplifying 5 + -3n = 0 Solving 5 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3n = 0 + -5 -3n = 0 + -5 Combine like terms: 0 + -5 = -5 -3n = -5 Divide each side by '-3'. n = 1.666666667 Simplifying n = 1.666666667Solution
n = {2.666666667, 1.666666667}
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