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Simplifying (n + -4)(n + -8) = 0 Reorder the terms: (-4 + n)(n + -8) = 0 Reorder the terms: (-4 + n)(-8 + n) = 0 Multiply (-4 + n) * (-8 + n) (-4(-8 + n) + n(-8 + n)) = 0 ((-8 * -4 + n * -4) + n(-8 + n)) = 0 ((32 + -4n) + n(-8 + n)) = 0 (32 + -4n + (-8 * n + n * n)) = 0 (32 + -4n + (-8n + n2)) = 0 Combine like terms: -4n + -8n = -12n (32 + -12n + n2) = 0 Solving 32 + -12n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (4 + -1n)(8 + -1n) = 0Subproblem 1
Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve: Simplifying 8 + -1n = 0 Solving 8 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 0 + -8 -1n = 0 + -8 Combine like terms: 0 + -8 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8Solution
n = {4, 8}
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