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Simplifying 4n2 + 11n = 15 Reorder the terms: 11n + 4n2 = 15 Solving 11n + 4n2 = 15 Solving for variable 'n'. Reorder the terms: -15 + 11n + 4n2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 11n + 4n2 = 0 Factor a trinomial. (-15 + -4n)(1 + -1n) = 0Subproblem 1
Set the factor '(-15 + -4n)' equal to zero and attempt to solve: Simplifying -15 + -4n = 0 Solving -15 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4n = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4n = 0 + 15 -4n = 0 + 15 Combine like terms: 0 + 15 = 15 -4n = 15 Divide each side by '-4'. n = -3.75 Simplifying n = -3.75Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 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 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {-3.75, 1}
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