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Simplifying 9N2 + -9N + -28 = 0 Reorder the terms: -28 + -9N + 9N2 = 0 Solving -28 + -9N + 9N2 = 0 Solving for variable 'N'. Factor a trinomial. (-4 + -3N)(7 + -3N) = 0Subproblem 1
Set the factor '(-4 + -3N)' equal to zero and attempt to solve: Simplifying -4 + -3N = 0 Solving -4 + -3N = 0 Move all terms containing N to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3N = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3N = 0 + 4 -3N = 0 + 4 Combine like terms: 0 + 4 = 4 -3N = 4 Divide each side by '-3'. N = -1.333333333 Simplifying N = -1.333333333Subproblem 2
Set the factor '(7 + -3N)' equal to zero and attempt to solve: Simplifying 7 + -3N = 0 Solving 7 + -3N = 0 Move all terms containing N to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3N = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3N = 0 + -7 -3N = 0 + -7 Combine like terms: 0 + -7 = -7 -3N = -7 Divide each side by '-3'. N = 2.333333333 Simplifying N = 2.333333333Solution
N = {-1.333333333, 2.333333333}
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