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Simplifying (5x + 1)(7 + -3x)(x + 2) = 0 Reorder the terms: (1 + 5x)(7 + -3x)(x + 2) = 0 Reorder the terms: (1 + 5x)(7 + -3x)(2 + x) = 0 Multiply (1 + 5x) * (7 + -3x) (1(7 + -3x) + 5x * (7 + -3x))(2 + x) = 0 ((7 * 1 + -3x * 1) + 5x * (7 + -3x))(2 + x) = 0 ((7 + -3x) + 5x * (7 + -3x))(2 + x) = 0 (7 + -3x + (7 * 5x + -3x * 5x))(2 + x) = 0 (7 + -3x + (35x + -15x2))(2 + x) = 0 Combine like terms: -3x + 35x = 32x (7 + 32x + -15x2)(2 + x) = 0 Multiply (7 + 32x + -15x2) * (2 + x) (7(2 + x) + 32x * (2 + x) + -15x2 * (2 + x)) = 0 ((2 * 7 + x * 7) + 32x * (2 + x) + -15x2 * (2 + x)) = 0 ((14 + 7x) + 32x * (2 + x) + -15x2 * (2 + x)) = 0 (14 + 7x + (2 * 32x + x * 32x) + -15x2 * (2 + x)) = 0 (14 + 7x + (64x + 32x2) + -15x2 * (2 + x)) = 0 (14 + 7x + 64x + 32x2 + (2 * -15x2 + x * -15x2)) = 0 (14 + 7x + 64x + 32x2 + (-30x2 + -15x3)) = 0 Combine like terms: 7x + 64x = 71x (14 + 71x + 32x2 + -30x2 + -15x3) = 0 Combine like terms: 32x2 + -30x2 = 2x2 (14 + 71x + 2x2 + -15x3) = 0 Solving 14 + 71x + 2x2 + -15x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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