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Simplifying 8n2 + -71n + 63 = 7 Reorder the terms: 63 + -71n + 8n2 = 7 Solving 63 + -71n + 8n2 = 7 Solving for variable 'n'. Reorder the terms: 63 + -7 + -71n + 8n2 = 7 + -7 Combine like terms: 63 + -7 = 56 56 + -71n + 8n2 = 7 + -7 Combine like terms: 7 + -7 = 0 56 + -71n + 8n2 = 0 Factor a trinomial. (7 + -8n)(8 + -1n) = 0Subproblem 1
Set the factor '(7 + -8n)' equal to zero and attempt to solve: Simplifying 7 + -8n = 0 Solving 7 + -8n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8n = 0 + -7 -8n = 0 + -7 Combine like terms: 0 + -7 = -7 -8n = -7 Divide each side by '-8'. n = 0.875 Simplifying n = 0.875Subproblem 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 = {0.875, 8}
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