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Simplifying 3n2 = 75n Solving 3n2 = 75n Solving for variable 'n'. Reorder the terms: -75n + 3n2 = 75n + -75n Combine like terms: 75n + -75n = 0 -75n + 3n2 = 0 Factor out the Greatest Common Factor (GCF), '3n'. 3n(-25 + n) = 0 Ignore the factor 3.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 '(-25 + n)' equal to zero and attempt to solve: Simplifying -25 + n = 0 Solving -25 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + n = 0 + 25 n = 0 + 25 Combine like terms: 0 + 25 = 25 n = 25 Simplifying n = 25Solution
n = {0, 25}
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