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Simplifying 4n2 + n + -33 = 0 Reorder the terms: -33 + n + 4n2 = 0 Solving -33 + n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (-3 + -1n)(11 + -4n) = 0Subproblem 1
Set the factor '(-3 + -1n)' equal to zero and attempt to solve: Simplifying -3 + -1n = 0 Solving -3 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1n = 0 + 3 -1n = 0 + 3 Combine like terms: 0 + 3 = 3 -1n = 3 Divide each side by '-1'. n = -3 Simplifying n = -3Subproblem 2
Set the factor '(11 + -4n)' equal to zero and attempt to solve: Simplifying 11 + -4n = 0 Solving 11 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4n = 0 + -11 -4n = 0 + -11 Combine like terms: 0 + -11 = -11 -4n = -11 Divide each side by '-4'. n = 2.75 Simplifying n = 2.75Solution
n = {-3, 2.75}
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