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Simplifying (N + -1)(2n + -2) = 0 Reorder the terms: (-1 + N)(2n + -2) = 0 Reorder the terms: (-1 + N)(-2 + 2n) = 0 Multiply (-1 + N) * (-2 + 2n) (-1(-2 + 2n) + N(-2 + 2n)) = 0 ((-2 * -1 + 2n * -1) + N(-2 + 2n)) = 0 ((2 + -2n) + N(-2 + 2n)) = 0 (2 + -2n + (-2 * N + 2n * N)) = 0 (2 + -2n + (-2N + 2nN)) = 0 Reorder the terms: (2 + -2N + -2n + 2nN) = 0 (2 + -2N + -2n + 2nN) = 0 Solving 2 + -2N + -2n + 2nN = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2N + -2n + -2 + 2nN = 0 + -2 Reorder the terms: 2 + -2 + -2N + -2n + 2nN = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2N + -2n + 2nN = 0 + -2 -2N + -2n + 2nN = 0 + -2 Combine like terms: 0 + -2 = -2 -2N + -2n + 2nN = -2 Add '2n' to each side of the equation. -2N + -2n + 2n + 2nN = -2 + 2n Combine like terms: -2n + 2n = 0 -2N + 0 + 2nN = -2 + 2n -2N + 2nN = -2 + 2n Reorder the terms: 2 + -2N + -2n + 2nN = -2 + 2n + 2 + -2n Reorder the terms: 2 + -2N + -2n + 2nN = -2 + 2 + 2n + -2n Combine like terms: -2 + 2 = 0 2 + -2N + -2n + 2nN = 0 + 2n + -2n 2 + -2N + -2n + 2nN = 2n + -2n Combine like terms: 2n + -2n = 0 2 + -2N + -2n + 2nN = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -1N + -1n + nN) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1N + -1n + nN)' equal to zero and attempt to solve: Simplifying 1 + -1N + -1n + nN = 0 Solving 1 + -1N + -1n + nN = 0 Move all terms containing N to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1N + -1n + -1 + nN = 0 + -1 Reorder the terms: 1 + -1 + -1N + -1n + nN = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1N + -1n + nN = 0 + -1 -1N + -1n + nN = 0 + -1 Combine like terms: 0 + -1 = -1 -1N + -1n + nN = -1 Add 'n' to each side of the equation. -1N + -1n + n + nN = -1 + n Combine like terms: -1n + n = 0 -1N + 0 + nN = -1 + n -1N + nN = -1 + n 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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