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Simplifying 6n2 + 55n + 56 = 0 Reorder the terms: 56 + 55n + 6n2 = 0 Solving 56 + 55n + 6n2 = 0 Solving for variable 'n'. Factor a trinomial. (8 + n)(7 + 6n) = 0Subproblem 1
Set the factor '(8 + n)' equal to zero and attempt to solve: Simplifying 8 + n = 0 Solving 8 + n = 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 + n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + n = 0 + -8 n = 0 + -8 Combine like terms: 0 + -8 = -8 n = -8 Simplifying n = -8Subproblem 2
Set the factor '(7 + 6n)' equal to zero and attempt to solve: Simplifying 7 + 6n = 0 Solving 7 + 6n = 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 + 6n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6n = 0 + -7 6n = 0 + -7 Combine like terms: 0 + -7 = -7 6n = -7 Divide each side by '6'. n = -1.166666667 Simplifying n = -1.166666667Solution
n = {-8, -1.166666667}
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