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Simplifying n2 + -8n + -29 = 4 Reorder the terms: -29 + -8n + n2 = 4 Solving -29 + -8n + n2 = 4 Solving for variable 'n'. Reorder the terms: -29 + -4 + -8n + n2 = 4 + -4 Combine like terms: -29 + -4 = -33 -33 + -8n + n2 = 4 + -4 Combine like terms: 4 + -4 = 0 -33 + -8n + n2 = 0 Factor a trinomial. (-3 + -1n)(11 + -1n) = 0Subproblem 1
Set the factor '(-3 + -1n)' equal to zero and attempt to solve: Simplifying -3 + -1n = 0 Solving -3 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1n = 0 + 3 -1n = 0 + 3 Combine like terms: 0 + 3 = 3 -1n = 3 Divide each side by '-1'. n = -3 Simplifying n = -3Subproblem 2
Set the factor '(11 + -1n)' equal to zero and attempt to solve: Simplifying 11 + -1n = 0 Solving 11 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1n = 0 + -11 -1n = 0 + -11 Combine like terms: 0 + -11 = -11 -1n = -11 Divide each side by '-1'. n = 11 Simplifying n = 11Solution
n = {-3, 11}
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