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Simplifying 4n2 + -29n + 52 = 0 Reorder the terms: 52 + -29n + 4n2 = 0 Solving 52 + -29n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (13 + -4n)(4 + -1n) = 0Subproblem 1
Set the factor '(13 + -4n)' equal to zero and attempt to solve: Simplifying 13 + -4n = 0 Solving 13 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4n = 0 + -13 -4n = 0 + -13 Combine like terms: 0 + -13 = -13 -4n = -13 Divide each side by '-4'. n = 3.25 Simplifying n = 3.25Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4Solution
n = {3.25, 4}
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