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Simplifying 10n3 + 4n2 = 0 Reorder the terms: 4n2 + 10n3 = 0 Solving 4n2 + 10n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n2'. 2n2(2 + 5n) = 0 Ignore the factor 2.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 '(2 + 5n)' equal to zero and attempt to solve: Simplifying 2 + 5n = 0 Solving 2 + 5n = 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 + 5n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5n = 0 + -2 5n = 0 + -2 Combine like terms: 0 + -2 = -2 5n = -2 Divide each side by '5'. n = -0.4 Simplifying n = -0.4Solution
n = {0, -0.4}
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