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Simplifying 3n2 + -20 = -4n Reorder the terms: -20 + 3n2 = -4n Solving -20 + 3n2 = -4n Solving for variable 'n'. Reorder the terms: -20 + 4n + 3n2 = -4n + 4n Combine like terms: -4n + 4n = 0 -20 + 4n + 3n2 = 0 Factor a trinomial. (-10 + -3n)(2 + -1n) = 0Subproblem 1
Set the factor '(-10 + -3n)' equal to zero and attempt to solve: Simplifying -10 + -3n = 0 Solving -10 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3n = 0 + 10 -3n = 0 + 10 Combine like terms: 0 + 10 = 10 -3n = 10 Divide each side by '-3'. n = -3.333333333 Simplifying n = -3.333333333Subproblem 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 = {-3.333333333, 2}
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