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Simplifying 4n2 = -4028n Solving 4n2 = -4028n Solving for variable 'n'. Reorder the terms: 4028n + 4n2 = -4028n + 4028n Combine like terms: -4028n + 4028n = 0 4028n + 4n2 = 0 Factor out the Greatest Common Factor (GCF), '4n'. 4n(1007 + n) = 0 Ignore the factor 4.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 '(1007 + n)' equal to zero and attempt to solve: Simplifying 1007 + n = 0 Solving 1007 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1007' to each side of the equation. 1007 + -1007 + n = 0 + -1007 Combine like terms: 1007 + -1007 = 0 0 + n = 0 + -1007 n = 0 + -1007 Combine like terms: 0 + -1007 = -1007 n = -1007 Simplifying n = -1007Solution
n = {0, -1007}
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