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Simplifying x(x + 1)(x + 2) = 15(x + 1) Reorder the terms: x(1 + x)(x + 2) = 15(x + 1) Reorder the terms: x(1 + x)(2 + x) = 15(x + 1) Multiply (1 + x) * (2 + x) x(1(2 + x) + x(2 + x)) = 15(x + 1) x((2 * 1 + x * 1) + x(2 + x)) = 15(x + 1) x((2 + 1x) + x(2 + x)) = 15(x + 1) x(2 + 1x + (2 * x + x * x)) = 15(x + 1) x(2 + 1x + (2x + x2)) = 15(x + 1) Combine like terms: 1x + 2x = 3x x(2 + 3x + x2) = 15(x + 1) (2 * x + 3x * x + x2 * x) = 15(x + 1) (2x + 3x2 + x3) = 15(x + 1) Reorder the terms: 2x + 3x2 + x3 = 15(1 + x) 2x + 3x2 + x3 = (1 * 15 + x * 15) 2x + 3x2 + x3 = (15 + 15x) Solving 2x + 3x2 + x3 = 15 + 15x Solving for variable 'x'. Reorder the terms: -15 + 2x + -15x + 3x2 + x3 = 15 + 15x + -15 + -15x Combine like terms: 2x + -15x = -13x -15 + -13x + 3x2 + x3 = 15 + 15x + -15 + -15x Reorder the terms: -15 + -13x + 3x2 + x3 = 15 + -15 + 15x + -15x Combine like terms: 15 + -15 = 0 -15 + -13x + 3x2 + x3 = 0 + 15x + -15x -15 + -13x + 3x2 + x3 = 15x + -15x Combine like terms: 15x + -15x = 0 -15 + -13x + 3x2 + x3 = 0 The solution to this equation could not be determined.
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