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Simplifying -15 = 3n + -4n2 + -5 Reorder the terms: -15 = -5 + 3n + -4n2 Solving -15 = -5 + 3n + -4n2 Solving for variable 'n'. Combine like terms: -15 + 5 = -10 -10 + -3n + 4n2 = -5 + 3n + -4n2 + 5 + -3n + 4n2 Reorder the terms: -10 + -3n + 4n2 = -5 + 5 + 3n + -3n + -4n2 + 4n2 Combine like terms: -5 + 5 = 0 -10 + -3n + 4n2 = 0 + 3n + -3n + -4n2 + 4n2 -10 + -3n + 4n2 = 3n + -3n + -4n2 + 4n2 Combine like terms: 3n + -3n = 0 -10 + -3n + 4n2 = 0 + -4n2 + 4n2 -10 + -3n + 4n2 = -4n2 + 4n2 Combine like terms: -4n2 + 4n2 = 0 -10 + -3n + 4n2 = 0 Factor a trinomial. (-5 + -4n)(2 + -1n) = 0Subproblem 1
Set the factor '(-5 + -4n)' equal to zero and attempt to solve: Simplifying -5 + -4n = 0 Solving -5 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4n = 0 + 5 -4n = 0 + 5 Combine like terms: 0 + 5 = 5 -4n = 5 Divide each side by '-4'. n = -1.25 Simplifying n = -1.25Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Solution
n = {-1.25, 2}
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