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Simplifying 0 = 4n2 + 3n + -10 Reorder the terms: 0 = -10 + 3n + 4n2 Solving 0 = -10 + 3n + 4n2 Solving for variable 'n'. Combine like terms: 0 + 10 = 10 10 + -3n + -4n2 = -10 + 3n + 4n2 + 10 + -3n + -4n2 Reorder the terms: 10 + -3n + -4n2 = -10 + 10 + 3n + -3n + 4n2 + -4n2 Combine like terms: -10 + 10 = 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 + n) = 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 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 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 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2Solution
n = {1.25, -2}
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