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Simplifying 5n3 + -14n2 = 0 Reorder the terms: -14n2 + 5n3 = 0 Solving -14n2 + 5n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n2'. n2(-14 + 5n) = 0Subproblem 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 '(-14 + 5n)' equal to zero and attempt to solve: Simplifying -14 + 5n = 0 Solving -14 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 5n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 5n = 0 + 14 5n = 0 + 14 Combine like terms: 0 + 14 = 14 5n = 14 Divide each side by '5'. n = 2.8 Simplifying n = 2.8Solution
n = {0, 2.8}
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