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Simplifying 3n2 + -7n + -416 = 0 Reorder the terms: -416 + -7n + 3n2 = 0 Solving -416 + -7n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (-32 + -3n)(13 + -1n) = 0Subproblem 1
Set the factor '(-32 + -3n)' equal to zero and attempt to solve: Simplifying -32 + -3n = 0 Solving -32 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -3n = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -3n = 0 + 32 -3n = 0 + 32 Combine like terms: 0 + 32 = 32 -3n = 32 Divide each side by '-3'. n = -10.66666667 Simplifying n = -10.66666667Subproblem 2
Set the factor '(13 + -1n)' equal to zero and attempt to solve: Simplifying 13 + -1n = 0 Solving 13 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1n = 0 + -13 -1n = 0 + -13 Combine like terms: 0 + -13 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13Solution
n = {-10.66666667, 13}
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