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Simplifying 5n = 4n2 + -4n Reorder the terms: 5n = -4n + 4n2 Solving 5n = -4n + 4n2 Solving for variable 'n'. Combine like terms: 5n + 4n = 9n 9n + -4n2 = -4n + 4n2 + 4n + -4n2 Reorder the terms: 9n + -4n2 = -4n + 4n + 4n2 + -4n2 Combine like terms: -4n + 4n = 0 9n + -4n2 = 0 + 4n2 + -4n2 9n + -4n2 = 4n2 + -4n2 Combine like terms: 4n2 + -4n2 = 0 9n + -4n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(9 + -4n) = 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 '(9 + -4n)' equal to zero and attempt to solve: Simplifying 9 + -4n = 0 Solving 9 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4n = 0 + -9 -4n = 0 + -9 Combine like terms: 0 + -9 = -9 -4n = -9 Divide each side by '-4'. n = 2.25 Simplifying n = 2.25Solution
n = {0, 2.25}
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