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Simplifying 6n2 + -80 = -4n Reorder the terms: -80 + 6n2 = -4n Solving -80 + 6n2 = -4n Solving for variable 'n'. Reorder the terms: -80 + 4n + 6n2 = -4n + 4n Combine like terms: -4n + 4n = 0 -80 + 4n + 6n2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + 2n + 3n2) = 0 Factor a trinomial. 2((-4 + -1n)(10 + -3n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1n)' equal to zero and attempt to solve: Simplifying -4 + -1n = 0 Solving -4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1n = 0 + 4 -1n = 0 + 4 Combine like terms: 0 + 4 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4Subproblem 2
Set the factor '(10 + -3n)' equal to zero and attempt to solve: Simplifying 10 + -3n = 0 Solving 10 + -3n = 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 + -3n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3n = 0 + -10 -3n = 0 + -10 Combine like terms: 0 + -10 = -10 -3n = -10 Divide each side by '-3'. n = 3.333333333 Simplifying n = 3.333333333Solution
n = {-4, 3.333333333}
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