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Simplifying 486n2 + -1080n + 600 = 0 Reorder the terms: 600 + -1080n + 486n2 = 0 Solving 600 + -1080n + 486n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '6'. 6(100 + -180n + 81n2) = 0 Factor a trinomial. 6((10 + -9n)(10 + -9n)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(10 + -9n)' equal to zero and attempt to solve: Simplifying 10 + -9n = 0 Solving 10 + -9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9n = 0 + -10 -9n = 0 + -10 Combine like terms: 0 + -10 = -10 -9n = -10 Divide each side by '-9'. n = 1.111111111 Simplifying n = 1.111111111Subproblem 2
Set the factor '(10 + -9n)' equal to zero and attempt to solve: Simplifying 10 + -9n = 0 Solving 10 + -9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9n = 0 + -10 -9n = 0 + -10 Combine like terms: 0 + -10 = -10 -9n = -10 Divide each side by '-9'. n = 1.111111111 Simplifying n = 1.111111111Solution
n = {1.111111111, 1.111111111}
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