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Simplifying 4n2 + -28n + 47 = -2 Reorder the terms: 47 + -28n + 4n2 = -2 Solving 47 + -28n + 4n2 = -2 Solving for variable 'n'. Reorder the terms: 47 + 2 + -28n + 4n2 = -2 + 2 Combine like terms: 47 + 2 = 49 49 + -28n + 4n2 = -2 + 2 Combine like terms: -2 + 2 = 0 49 + -28n + 4n2 = 0 Factor a trinomial. (7 + -2n)(7 + -2n) = 0Subproblem 1
Set the factor '(7 + -2n)' equal to zero and attempt to solve: Simplifying 7 + -2n = 0 Solving 7 + -2n = 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 + -2n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = 0 + -7 -2n = 0 + -7 Combine like terms: 0 + -7 = -7 -2n = -7 Divide each side by '-2'. n = 3.5 Simplifying n = 3.5Subproblem 2
Set the factor '(7 + -2n)' equal to zero and attempt to solve: Simplifying 7 + -2n = 0 Solving 7 + -2n = 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 + -2n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = 0 + -7 -2n = 0 + -7 Combine like terms: 0 + -7 = -7 -2n = -7 Divide each side by '-2'. n = 3.5 Simplifying n = 3.5Solution
n = {3.5, 3.5}
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