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Simplifying -3n2 + 75n = 0 Reorder the terms: 75n + -3n2 = 0 Solving 75n + -3n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(25 + -1n) = 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 + -1n)' equal to zero and attempt to solve: Simplifying 25 + -1n = 0 Solving 25 + -1n = 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 + -1n = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1n = 0 + -25 -1n = 0 + -25 Combine like terms: 0 + -25 = -25 -1n = -25 Divide each side by '-1'. n = 25 Simplifying n = 25Solution
n = {0, 25}
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