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Simplifying 6n2 + -53n = -40 Reorder the terms: -53n + 6n2 = -40 Solving -53n + 6n2 = -40 Solving for variable 'n'. Reorder the terms: 40 + -53n + 6n2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + -53n + 6n2 = 0 Factor a trinomial. (5 + -6n)(8 + -1n) = 0Subproblem 1
Set the factor '(5 + -6n)' equal to zero and attempt to solve: Simplifying 5 + -6n = 0 Solving 5 + -6n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6n = 0 + -5 -6n = 0 + -5 Combine like terms: 0 + -5 = -5 -6n = -5 Divide each side by '-6'. n = 0.8333333333 Simplifying n = 0.8333333333Subproblem 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 = {0.8333333333, 8}
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