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Simplifying (N + -3)(6n + -2) = 0 Reorder the terms: (-3 + N)(6n + -2) = 0 Reorder the terms: (-3 + N)(-2 + 6n) = 0 Multiply (-3 + N) * (-2 + 6n) (-3(-2 + 6n) + N(-2 + 6n)) = 0 ((-2 * -3 + 6n * -3) + N(-2 + 6n)) = 0 ((6 + -18n) + N(-2 + 6n)) = 0 (6 + -18n + (-2 * N + 6n * N)) = 0 (6 + -18n + (-2N + 6nN)) = 0 Reorder the terms: (6 + -2N + -18n + 6nN) = 0 (6 + -2N + -18n + 6nN) = 0 Solving 6 + -2N + -18n + 6nN = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -2N + -18n + -6 + 6nN = 0 + -6 Reorder the terms: 6 + -6 + -2N + -18n + 6nN = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2N + -18n + 6nN = 0 + -6 -2N + -18n + 6nN = 0 + -6 Combine like terms: 0 + -6 = -6 -2N + -18n + 6nN = -6 Add '18n' to each side of the equation. -2N + -18n + 18n + 6nN = -6 + 18n Combine like terms: -18n + 18n = 0 -2N + 0 + 6nN = -6 + 18n -2N + 6nN = -6 + 18n Reorder the terms: 6 + -2N + -18n + 6nN = -6 + 18n + 6 + -18n Reorder the terms: 6 + -2N + -18n + 6nN = -6 + 6 + 18n + -18n Combine like terms: -6 + 6 = 0 6 + -2N + -18n + 6nN = 0 + 18n + -18n 6 + -2N + -18n + 6nN = 18n + -18n Combine like terms: 18n + -18n = 0 6 + -2N + -18n + 6nN = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -1N + -9n + 3nN) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1N + -9n + 3nN)' equal to zero and attempt to solve: Simplifying 3 + -1N + -9n + 3nN = 0 Solving 3 + -1N + -9n + 3nN = 0 Move all terms containing N to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1N + -9n + -3 + 3nN = 0 + -3 Reorder the terms: 3 + -3 + -1N + -9n + 3nN = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1N + -9n + 3nN = 0 + -3 -1N + -9n + 3nN = 0 + -3 Combine like terms: 0 + -3 = -3 -1N + -9n + 3nN = -3 Add '9n' to each side of the equation. -1N + -9n + 9n + 3nN = -3 + 9n Combine like terms: -9n + 9n = 0 -1N + 0 + 3nN = -3 + 9n -1N + 3nN = -3 + 9n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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