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Simplifying -4n(7n + 7) = 0 Reorder the terms: -4n(7 + 7n) = 0 (7 * -4n + 7n * -4n) = 0 (-28n + -28n2) = 0 Solving -28n + -28n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-28n'. -28n(1 + n) = 0 Ignore the factor -28.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 '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1Solution
n = {0, -1}
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