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Simplifying 5n3 + -25n2 = 0 Reorder the terms: -25n2 + 5n3 = 0 Solving -25n2 + 5n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5n2'. 5n2(-5 + n) = 0 Ignore the factor 5.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 '(-5 + n)' equal to zero and attempt to solve: Simplifying -5 + n = 0 Solving -5 + n = 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 + n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + n = 0 + 5 n = 0 + 5 Combine like terms: 0 + 5 = 5 n = 5 Simplifying n = 5Solution
n = {0, 5}
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