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Simplifying 5n2 = 4n2 + -4n Reorder the terms: 5n2 = -4n + 4n2 Solving 5n2 = -4n + 4n2 Solving for variable 'n'. Reorder the terms: 4n + 5n2 + -4n2 = -4n + 4n2 + 4n + -4n2 Combine like terms: 5n2 + -4n2 = 1n2 4n + 1n2 = -4n + 4n2 + 4n + -4n2 Reorder the terms: 4n + 1n2 = -4n + 4n + 4n2 + -4n2 Combine like terms: -4n + 4n = 0 4n + 1n2 = 0 + 4n2 + -4n2 4n + 1n2 = 4n2 + -4n2 Combine like terms: 4n2 + -4n2 = 0 4n + 1n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(4 + n) = 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 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 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 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Simplifying n = -4Solution
n = {0, -4}
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