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Simplifying 25n + -20n3 = 0 Solving 25n + -20n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5n'. 5n(5 + -4n2) = 0 Ignore the factor 5.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 '(5 + -4n2)' equal to zero and attempt to solve: Simplifying 5 + -4n2 = 0 Solving 5 + -4n2 = 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 + -4n2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4n2 = 0 + -5 -4n2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4n2 = -5 Divide each side by '-4'. n2 = 1.25 Simplifying n2 = 1.25 Take the square root of each side: n = {-1.118033989, 1.118033989}Solution
n = {0, -1.118033989, 1.118033989}
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