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Simplifying 0 = 16n(7 + -1n) 0 = (7 * 16n + -1n * 16n) 0 = (112n + -16n2) Solving 0 = 112n + -16n2 Solving for variable 'n'. Remove the zero: -112n + 16n2 = 112n + -16n2 + -112n + 16n2 Reorder the terms: -112n + 16n2 = 112n + -112n + -16n2 + 16n2 Combine like terms: 112n + -112n = 0 -112n + 16n2 = 0 + -16n2 + 16n2 -112n + 16n2 = -16n2 + 16n2 Combine like terms: -16n2 + 16n2 = 0 -112n + 16n2 = 0 Factor out the Greatest Common Factor (GCF), '16n'. 16n(-7 + n) = 0 Ignore the factor 16.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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