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Simplifying 100n + -50n3 = 0 Solving 100n + -50n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '50n'. 50n(2 + -1n2) = 0 Ignore the factor 50.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(2 + -1n2)' equal to zero and attempt to solve: Simplifying 2 + -1n2 = 0 Solving 2 + -1n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n2 = 0 + -2 -1n2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1n2 = -2 Divide each side by '-1'. n2 = 2 Simplifying n2 = 2 Take the square root of each side: n = {-1.414213562, 1.414213562}Solution
n = {0, -1.414213562, 1.414213562}
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