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Simplifying -2.5n(1 + -2n) + -1.5n = 0 (1 * -2.5n + -2n * -2.5n) + -1.5n = 0 (-2.5n + 5n2) + -1.5n = 0 Reorder the terms: -2.5n + -1.5n + 5n2 = 0 Combine like terms: -2.5n + -1.5n = -4n -4n + 5n2 = 0 Solving -4n + 5n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-4 + 5n) = 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 '(-4 + 5n)' equal to zero and attempt to solve: Simplifying -4 + 5n = 0 Solving -4 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5n = 0 + 4 5n = 0 + 4 Combine like terms: 0 + 4 = 4 5n = 4 Divide each side by '5'. n = 0.8 Simplifying n = 0.8Solution
n = {0, 0.8}
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