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Simplifying 3n4 + 11n2 + -20 = 0 Reorder the terms: -20 + 11n2 + 3n4 = 0 Solving -20 + 11n2 + 3n4 = 0 Solving for variable 'n'. Factor a trinomial. (-5 + -1n2)(4 + -3n2) = 0Subproblem 1
Set the factor '(-5 + -1n2)' equal to zero and attempt to solve: Simplifying -5 + -1n2 = 0 Solving -5 + -1n2 = 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 + -1n2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1n2 = 0 + 5 -1n2 = 0 + 5 Combine like terms: 0 + 5 = 5 -1n2 = 5 Divide each side by '-1'. n2 = -5 Simplifying n2 = -5 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 '(4 + -3n2)' equal to zero and attempt to solve: Simplifying 4 + -3n2 = 0 Solving 4 + -3n2 = 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 + -3n2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3n2 = 0 + -4 -3n2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3n2 = -4 Divide each side by '-3'. n2 = 1.333333333 Simplifying n2 = 1.333333333 Take the square root of each side: n = {-1.154700538, 1.154700538}Solution
n = {-1.154700538, 1.154700538}
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