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Simplifying 30n4 + 24n2 = 0 Reorder the terms: 24n2 + 30n4 = 0 Solving 24n2 + 30n4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '6n2'. 6n2(4 + 5n2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve: Simplifying n2 = 0 Solving n2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n2 = 0 Take the square root of each side: n = {0}Subproblem 2
Set the factor '(4 + 5n2)' equal to zero and attempt to solve: Simplifying 4 + 5n2 = 0 Solving 4 + 5n2 = 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 + 5n2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5n2 = 0 + -4 5n2 = 0 + -4 Combine like terms: 0 + -4 = -4 5n2 = -4 Divide each side by '5'. n2 = -0.8 Simplifying n2 = -0.8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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