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Simplifying 4n(n + -9) = -81 Reorder the terms: 4n(-9 + n) = -81 (-9 * 4n + n * 4n) = -81 (-36n + 4n2) = -81 Solving -36n + 4n2 = -81 Solving for variable 'n'. Reorder the terms: 81 + -36n + 4n2 = -81 + 81 Combine like terms: -81 + 81 = 0 81 + -36n + 4n2 = 0 Factor a trinomial. (9 + -2n)(9 + -2n) = 0Subproblem 1
Set the factor '(9 + -2n)' equal to zero and attempt to solve: Simplifying 9 + -2n = 0 Solving 9 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2n = 0 + -9 -2n = 0 + -9 Combine like terms: 0 + -9 = -9 -2n = -9 Divide each side by '-2'. n = 4.5 Simplifying n = 4.5Subproblem 2
Set the factor '(9 + -2n)' equal to zero and attempt to solve: Simplifying 9 + -2n = 0 Solving 9 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2n = 0 + -9 -2n = 0 + -9 Combine like terms: 0 + -9 = -9 -2n = -9 Divide each side by '-2'. n = 4.5 Simplifying n = 4.5Solution
n = {4.5, 4.5}
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