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Simplifying 75n2 + 60n + 12 = 0 Reorder the terms: 12 + 60n + 75n2 = 0 Solving 12 + 60n + 75n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 20n + 25n2) = 0 Factor a trinomial. 3((2 + 5n)(2 + 5n)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + 5n)' equal to zero and attempt to solve: Simplifying 2 + 5n = 0 Solving 2 + 5n = 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 + 5n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5n = 0 + -2 5n = 0 + -2 Combine like terms: 0 + -2 = -2 5n = -2 Divide each side by '5'. n = -0.4 Simplifying n = -0.4Subproblem 2
Set the factor '(2 + 5n)' equal to zero and attempt to solve: Simplifying 2 + 5n = 0 Solving 2 + 5n = 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 + 5n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5n = 0 + -2 5n = 0 + -2 Combine like terms: 0 + -2 = -2 5n = -2 Divide each side by '5'. n = -0.4 Simplifying n = -0.4Solution
n = {-0.4, -0.4}
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