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Simplifying (8 + -1n)(-4 + -1n) = 0 Multiply (8 + -1n) * (-4 + -1n) (8(-4 + -1n) + -1n * (-4 + -1n)) = 0 ((-4 * 8 + -1n * 8) + -1n * (-4 + -1n)) = 0 ((-32 + -8n) + -1n * (-4 + -1n)) = 0 (-32 + -8n + (-4 * -1n + -1n * -1n)) = 0 (-32 + -8n + (4n + 1n2)) = 0 Combine like terms: -8n + 4n = -4n (-32 + -4n + 1n2) = 0 Solving -32 + -4n + 1n2 = 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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