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Simplifying 35n2 = -60 + 220n Solving 35n2 = -60 + 220n Solving for variable 'n'. Reorder the terms: 60 + -220n + 35n2 = -60 + 220n + 60 + -220n Reorder the terms: 60 + -220n + 35n2 = -60 + 60 + 220n + -220n Combine like terms: -60 + 60 = 0 60 + -220n + 35n2 = 0 + 220n + -220n 60 + -220n + 35n2 = 220n + -220n Combine like terms: 220n + -220n = 0 60 + -220n + 35n2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(12 + -44n + 7n2) = 0 Factor a trinomial. 5((2 + -7n)(6 + -1n)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + -7n)' equal to zero and attempt to solve: Simplifying 2 + -7n = 0 Solving 2 + -7n = 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 + -7n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7n = 0 + -2 -7n = 0 + -2 Combine like terms: 0 + -2 = -2 -7n = -2 Divide each side by '-7'. n = 0.2857142857 Simplifying n = 0.2857142857Subproblem 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 = {0.2857142857, 6}
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