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Simplifying n2 + 6n + -8 = -8 Reorder the terms: -8 + 6n + n2 = -8 Add '8' to each side of the equation. -8 + 6n + 8 + n2 = -8 + 8 Reorder the terms: -8 + 8 + 6n + n2 = -8 + 8 Combine like terms: -8 + 8 = 0 0 + 6n + n2 = -8 + 8 6n + n2 = -8 + 8 Combine like terms: -8 + 8 = 0 6n + n2 = 0 Solving 6n + n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(6 + n) = 0Subproblem 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 '(6 + n)' equal to zero and attempt to solve: Simplifying 6 + n = 0 Solving 6 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + n = 0 + -6 n = 0 + -6 Combine like terms: 0 + -6 = -6 n = -6 Simplifying n = -6Solution
n = {0, -6}
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