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Simplifying 9n2 + -76n + 20 = -12 Reorder the terms: 20 + -76n + 9n2 = -12 Solving 20 + -76n + 9n2 = -12 Solving for variable 'n'. Reorder the terms: 20 + 12 + -76n + 9n2 = -12 + 12 Combine like terms: 20 + 12 = 32 32 + -76n + 9n2 = -12 + 12 Combine like terms: -12 + 12 = 0 32 + -76n + 9n2 = 0 Factor a trinomial. (4 + -9n)(8 + -1n) = 0Subproblem 1
Set the factor '(4 + -9n)' equal to zero and attempt to solve: Simplifying 4 + -9n = 0 Solving 4 + -9n = 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 + -9n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9n = 0 + -4 -9n = 0 + -4 Combine like terms: 0 + -4 = -4 -9n = -4 Divide each side by '-9'. n = 0.4444444444 Simplifying n = 0.4444444444Subproblem 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 = {0.4444444444, 8}
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