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Simplifying (x + -2)(3x + -4)(2x + 7) = 0 Reorder the terms: (-2 + x)(3x + -4)(2x + 7) = 0 Reorder the terms: (-2 + x)(-4 + 3x)(2x + 7) = 0 Reorder the terms: (-2 + x)(-4 + 3x)(7 + 2x) = 0 Multiply (-2 + x) * (-4 + 3x) (-2(-4 + 3x) + x(-4 + 3x))(7 + 2x) = 0 ((-4 * -2 + 3x * -2) + x(-4 + 3x))(7 + 2x) = 0 ((8 + -6x) + x(-4 + 3x))(7 + 2x) = 0 (8 + -6x + (-4 * x + 3x * x))(7 + 2x) = 0 (8 + -6x + (-4x + 3x2))(7 + 2x) = 0 Combine like terms: -6x + -4x = -10x (8 + -10x + 3x2)(7 + 2x) = 0 Multiply (8 + -10x + 3x2) * (7 + 2x) (8(7 + 2x) + -10x * (7 + 2x) + 3x2 * (7 + 2x)) = 0 ((7 * 8 + 2x * 8) + -10x * (7 + 2x) + 3x2 * (7 + 2x)) = 0 ((56 + 16x) + -10x * (7 + 2x) + 3x2 * (7 + 2x)) = 0 (56 + 16x + (7 * -10x + 2x * -10x) + 3x2 * (7 + 2x)) = 0 (56 + 16x + (-70x + -20x2) + 3x2 * (7 + 2x)) = 0 (56 + 16x + -70x + -20x2 + (7 * 3x2 + 2x * 3x2)) = 0 (56 + 16x + -70x + -20x2 + (21x2 + 6x3)) = 0 Combine like terms: 16x + -70x = -54x (56 + -54x + -20x2 + 21x2 + 6x3) = 0 Combine like terms: -20x2 + 21x2 = 1x2 (56 + -54x + 1x2 + 6x3) = 0 Solving 56 + -54x + 1x2 + 6x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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