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Simplifying 4n5 + 3n3 = -13n4 Reorder the terms: 3n3 + 4n5 = -13n4 Solving 3n3 + 4n5 = -13n4 Solving for variable 'n'. Reorder the terms: 3n3 + 13n4 + 4n5 = -13n4 + 13n4 Combine like terms: -13n4 + 13n4 = 0 3n3 + 13n4 + 4n5 = 0 Factor out the Greatest Common Factor (GCF), 'n3'. n3(3 + 13n + 4n2) = 0 Factor a trinomial. n3((3 + n)(1 + 4n)) = 0Subproblem 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 '(3 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 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 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Subproblem 3
Set the factor '(1 + 4n)' equal to zero and attempt to solve: Simplifying 1 + 4n = 0 Solving 1 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4n = 0 + -1 4n = 0 + -1 Combine like terms: 0 + -1 = -1 4n = -1 Divide each side by '4'. n = -0.25 Simplifying n = -0.25Solution
n = {-3, -0.25}
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