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Simplifying (A + b)(x + 2) = 1 Reorder the terms: (A + b)(2 + x) = 1 Multiply (A + b) * (2 + x) (A(2 + x) + b(2 + x)) = 1 ((2 * A + x * A) + b(2 + x)) = 1 ((2A + xA) + b(2 + x)) = 1 (2A + xA + (2 * b + x * b)) = 1 (2A + xA + (2b + bx)) = 1 Reorder the terms: (2A + 2b + bx + xA) = 1 (2A + 2b + bx + xA) = 1 Solving 2A + 2b + bx + xA = 1 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2b' to each side of the equation. 2A + 2b + bx + -2b + xA = 1 + -2b Reorder the terms: 2A + 2b + -2b + bx + xA = 1 + -2b Combine like terms: 2b + -2b = 0 2A + 0 + bx + xA = 1 + -2b 2A + bx + xA = 1 + -2b Add '-1bx' to each side of the equation. 2A + bx + -1bx + xA = 1 + -2b + -1bx Combine like terms: bx + -1bx = 0 2A + 0 + xA = 1 + -2b + -1bx 2A + xA = 1 + -2b + -1bx Reorder the terms: -1 + 2A + 2b + bx + xA = 1 + -2b + -1bx + -1 + 2b + bx Reorder the terms: -1 + 2A + 2b + bx + xA = 1 + -1 + -2b + 2b + -1bx + bx Combine like terms: 1 + -1 = 0 -1 + 2A + 2b + bx + xA = 0 + -2b + 2b + -1bx + bx -1 + 2A + 2b + bx + xA = -2b + 2b + -1bx + bx Combine like terms: -2b + 2b = 0 -1 + 2A + 2b + bx + xA = 0 + -1bx + bx -1 + 2A + 2b + bx + xA = -1bx + bx Combine like terms: -1bx + bx = 0 -1 + 2A + 2b + bx + xA = 0 The solution to this equation could not be determined.
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