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Simplifying (3N + -1)(4N + -3) = 0 Reorder the terms: (-1 + 3N)(4N + -3) = 0 Reorder the terms: (-1 + 3N)(-3 + 4N) = 0 Multiply (-1 + 3N) * (-3 + 4N) (-1(-3 + 4N) + 3N * (-3 + 4N)) = 0 ((-3 * -1 + 4N * -1) + 3N * (-3 + 4N)) = 0 ((3 + -4N) + 3N * (-3 + 4N)) = 0 (3 + -4N + (-3 * 3N + 4N * 3N)) = 0 (3 + -4N + (-9N + 12N2)) = 0 Combine like terms: -4N + -9N = -13N (3 + -13N + 12N2) = 0 Solving 3 + -13N + 12N2 = 0 Solving for variable 'N'. Factor a trinomial. (1 + -3N)(3 + -4N) = 0Subproblem 1
Set the factor '(1 + -3N)' equal to zero and attempt to solve: Simplifying 1 + -3N = 0 Solving 1 + -3N = 0 Move all terms containing N to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3N = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3N = 0 + -1 -3N = 0 + -1 Combine like terms: 0 + -1 = -1 -3N = -1 Divide each side by '-3'. N = 0.3333333333 Simplifying N = 0.3333333333Subproblem 2
Set the factor '(3 + -4N)' equal to zero and attempt to solve: Simplifying 3 + -4N = 0 Solving 3 + -4N = 0 Move all terms containing N to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4N = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4N = 0 + -3 -4N = 0 + -3 Combine like terms: 0 + -3 = -3 -4N = -3 Divide each side by '-4'. N = 0.75 Simplifying N = 0.75Solution
N = {0.3333333333, 0.75}
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