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Simplifying 6(n + -5) * 11n = 0 Reorder the terms: 6(-5 + n) * 11n = 0 Reorder the terms for easier multiplication: 6 * 11n(-5 + n) = 0 Multiply 6 * 11 66n(-5 + n) = 0 (-5 * 66n + n * 66n) = 0 (-330n + 66n2) = 0 Solving -330n + 66n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '66n'. 66n(-5 + n) = 0 Ignore the factor 66.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 '(-5 + n)' equal to zero and attempt to solve: Simplifying -5 + n = 0 Solving -5 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + n = 0 + 5 n = 0 + 5 Combine like terms: 0 + 5 = 5 n = 5 Simplifying n = 5Solution
n = {0, 5}
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