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Simplifying (X + 13)(x) = (x + 1)(x + 10) Reorder the terms: (13 + X)(x) = (x + 1)(x + 10) Reorder the terms for easier multiplication: x(13 + X) = (x + 1)(x + 10) (13 * x + X * x) = (x + 1)(x + 10) (13x + xX) = (x + 1)(x + 10) Reorder the terms: 13x + xX = (1 + x)(x + 10) Reorder the terms: 13x + xX = (1 + x)(10 + x) Multiply (1 + x) * (10 + x) 13x + xX = (1(10 + x) + x(10 + x)) 13x + xX = ((10 * 1 + x * 1) + x(10 + x)) 13x + xX = ((10 + 1x) + x(10 + x)) 13x + xX = (10 + 1x + (10 * x + x * x)) 13x + xX = (10 + 1x + (10x + x2)) Combine like terms: 1x + 10x = 11x 13x + xX = (10 + 11x + x2) Solving 13x + xX = 10 + 11x + x2 Solving for variable 'x'. Reorder the terms: -10 + 13x + -11x + xX + -1x2 = 10 + 11x + x2 + -10 + -11x + -1x2 Combine like terms: 13x + -11x = 2x -10 + 2x + xX + -1x2 = 10 + 11x + x2 + -10 + -11x + -1x2 Reorder the terms: -10 + 2x + xX + -1x2 = 10 + -10 + 11x + -11x + x2 + -1x2 Combine like terms: 10 + -10 = 0 -10 + 2x + xX + -1x2 = 0 + 11x + -11x + x2 + -1x2 -10 + 2x + xX + -1x2 = 11x + -11x + x2 + -1x2 Combine like terms: 11x + -11x = 0 -10 + 2x + xX + -1x2 = 0 + x2 + -1x2 -10 + 2x + xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + 2x + xX + -1x2 = 0 The solution to this equation could not be determined.
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