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Simplifying N(n + 1) + (n + 2) = 51 Reorder the terms: N(1 + n) + (n + 2) = 51 (1 * N + n * N) + (n + 2) = 51 (1N + nN) + (n + 2) = 51 Reorder the terms: 1N + nN + (2 + n) = 51 Remove parenthesis around (2 + n) 1N + nN + 2 + n = 51 Reorder the terms: 2 + 1N + n + nN = 51 Solving 2 + 1N + n + nN = 51 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 + 1N + n + -2 + nN = 51 + -2 Reorder the terms: 2 + -2 + 1N + n + nN = 51 + -2 Combine like terms: 2 + -2 = 0 0 + 1N + n + nN = 51 + -2 1N + n + nN = 51 + -2 Combine like terms: 51 + -2 = 49 1N + n + nN = 49 Add '-1n' to each side of the equation. 1N + n + -1n + nN = 49 + -1n Combine like terms: n + -1n = 0 1N + 0 + nN = 49 + -1n 1N + nN = 49 + -1n Reorder the terms: -49 + 1N + n + nN = 49 + -1n + -49 + n Reorder the terms: -49 + 1N + n + nN = 49 + -49 + -1n + n Combine like terms: 49 + -49 = 0 -49 + 1N + n + nN = 0 + -1n + n -49 + 1N + n + nN = -1n + n Combine like terms: -1n + n = 0 -49 + 1N + n + nN = 0 The solution to this equation could not be determined.
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