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Simplifying (3n + 6)(n + -2) = 0 Reorder the terms: (6 + 3n)(n + -2) = 0 Reorder the terms: (6 + 3n)(-2 + n) = 0 Multiply (6 + 3n) * (-2 + n) (6(-2 + n) + 3n * (-2 + n)) = 0 ((-2 * 6 + n * 6) + 3n * (-2 + n)) = 0 ((-12 + 6n) + 3n * (-2 + n)) = 0 (-12 + 6n + (-2 * 3n + n * 3n)) = 0 (-12 + 6n + (-6n + 3n2)) = 0 Combine like terms: 6n + -6n = 0 (-12 + 0 + 3n2) = 0 (-12 + 3n2) = 0 Solving -12 + 3n2 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3n2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3n2 = 0 + 12 3n2 = 0 + 12 Combine like terms: 0 + 12 = 12 3n2 = 12 Divide each side by '3'. n2 = 4 Simplifying n2 = 4 Take the square root of each side: n = {-2, 2}
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