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Simplifying (N + 7) * 5N = 0 Reorder the terms: (7 + N) * 5N = 0 Reorder the terms for easier multiplication: 5N(7 + N) = 0 (7 * 5N + N * 5N) = 0 (35N + 5N2) = 0 Solving 35N + 5N2 = 0 Solving for variable 'N'. Factor out the Greatest Common Factor (GCF), '5N'. 5N(7 + N) = 0 Ignore the factor 5.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 '(7 + N)' equal to zero and attempt to solve: Simplifying 7 + N = 0 Solving 7 + N = 0 Move all terms containing N to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + N = 0 + -7 Combine like terms: 7 + -7 = 0 0 + N = 0 + -7 N = 0 + -7 Combine like terms: 0 + -7 = -7 N = -7 Simplifying N = -7Solution
N = {0, -7}
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