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Simplifying 35n2 + -66n + 8 = -5n Reorder the terms: 8 + -66n + 35n2 = -5n Solving 8 + -66n + 35n2 = -5n Solving for variable 'n'. Reorder the terms: 8 + -66n + 5n + 35n2 = -5n + 5n Combine like terms: -66n + 5n = -61n 8 + -61n + 35n2 = -5n + 5n Combine like terms: -5n + 5n = 0 8 + -61n + 35n2 = 0 Factor a trinomial. (1 + -7n)(8 + -5n) = 0Subproblem 1
Set the factor '(1 + -7n)' equal to zero and attempt to solve: Simplifying 1 + -7n = 0 Solving 1 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7n = 0 + -1 -7n = 0 + -1 Combine like terms: 0 + -1 = -1 -7n = -1 Divide each side by '-7'. n = 0.1428571429 Simplifying n = 0.1428571429Subproblem 2
Set the factor '(8 + -5n)' equal to zero and attempt to solve: Simplifying 8 + -5n = 0 Solving 8 + -5n = 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 + -5n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5n = 0 + -8 -5n = 0 + -8 Combine like terms: 0 + -8 = -8 -5n = -8 Divide each side by '-5'. n = 1.6 Simplifying n = 1.6Solution
n = {0.1428571429, 1.6}
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