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Simplifying 36n2 + 95n + 56 = 0 Reorder the terms: 56 + 95n + 36n2 = 0 Solving 56 + 95n + 36n2 = 0 Solving for variable 'n'. Factor a trinomial. (7 + 4n)(8 + 9n) = 0Subproblem 1
Set the factor '(7 + 4n)' equal to zero and attempt to solve: Simplifying 7 + 4n = 0 Solving 7 + 4n = 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 + 4n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4n = 0 + -7 4n = 0 + -7 Combine like terms: 0 + -7 = -7 4n = -7 Divide each side by '4'. n = -1.75 Simplifying n = -1.75Subproblem 2
Set the factor '(8 + 9n)' equal to zero and attempt to solve: Simplifying 8 + 9n = 0 Solving 8 + 9n = 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 + 9n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9n = 0 + -8 9n = 0 + -8 Combine like terms: 0 + -8 = -8 9n = -8 Divide each side by '9'. n = -0.8888888889 Simplifying n = -0.8888888889Solution
n = {-1.75, -0.8888888889}
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