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Simplifying 12n7 + 2n5 + -30n3 = 0 Reorder the terms: -30n3 + 2n5 + 12n7 = 0 Solving -30n3 + 2n5 + 12n7 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n3'. 2n3(-15 + n2 + 6n4) = 0 Factor a trinomial. 2n3((-5 + -3n2)(3 + -2n2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'n3' equal to zero and attempt to solve: Simplifying n3 = 0 Solving n3 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-5 + -3n2)' equal to zero and attempt to solve: Simplifying -5 + -3n2 = 0 Solving -5 + -3n2 = 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 + -3n2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3n2 = 0 + 5 -3n2 = 0 + 5 Combine like terms: 0 + 5 = 5 -3n2 = 5 Divide each side by '-3'. n2 = -1.666666667 Simplifying n2 = -1.666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + -2n2)' equal to zero and attempt to solve: Simplifying 3 + -2n2 = 0 Solving 3 + -2n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2n2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2n2 = 0 + -3 -2n2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2n2 = -3 Divide each side by '-2'. n2 = 1.5 Simplifying n2 = 1.5 Take the square root of each side: n = {-1.224744871, 1.224744871}Solution
n = {-1.224744871, 1.224744871}
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