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Simplifying -0.25(84 + -32n) * n = 0 Reorder the terms for easier multiplication: -0.25n(84 + -32n) = 0 (84 * -0.25n + -32n * -0.25n) = 0 (-21n + 8n2) = 0 Solving -21n + 8n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-21 + 8n) = 0Subproblem 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 '(-21 + 8n)' equal to zero and attempt to solve: Simplifying -21 + 8n = 0 Solving -21 + 8n = 0 Move all terms containing n to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 8n = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 8n = 0 + 21 8n = 0 + 21 Combine like terms: 0 + 21 = 21 8n = 21 Divide each side by '8'. n = 2.625 Simplifying n = 2.625Solution
n = {0, 2.625}
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