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Simplifying (3x + -2)(x + 2)(4x + 1) = 0 Reorder the terms: (-2 + 3x)(x + 2)(4x + 1) = 0 Reorder the terms: (-2 + 3x)(2 + x)(4x + 1) = 0 Reorder the terms: (-2 + 3x)(2 + x)(1 + 4x) = 0 Multiply (-2 + 3x) * (2 + x) (-2(2 + x) + 3x * (2 + x))(1 + 4x) = 0 ((2 * -2 + x * -2) + 3x * (2 + x))(1 + 4x) = 0 ((-4 + -2x) + 3x * (2 + x))(1 + 4x) = 0 (-4 + -2x + (2 * 3x + x * 3x))(1 + 4x) = 0 (-4 + -2x + (6x + 3x2))(1 + 4x) = 0 Combine like terms: -2x + 6x = 4x (-4 + 4x + 3x2)(1 + 4x) = 0 Multiply (-4 + 4x + 3x2) * (1 + 4x) (-4(1 + 4x) + 4x * (1 + 4x) + 3x2 * (1 + 4x)) = 0 ((1 * -4 + 4x * -4) + 4x * (1 + 4x) + 3x2 * (1 + 4x)) = 0 ((-4 + -16x) + 4x * (1 + 4x) + 3x2 * (1 + 4x)) = 0 (-4 + -16x + (1 * 4x + 4x * 4x) + 3x2 * (1 + 4x)) = 0 (-4 + -16x + (4x + 16x2) + 3x2 * (1 + 4x)) = 0 (-4 + -16x + 4x + 16x2 + (1 * 3x2 + 4x * 3x2)) = 0 (-4 + -16x + 4x + 16x2 + (3x2 + 12x3)) = 0 Combine like terms: -16x + 4x = -12x (-4 + -12x + 16x2 + 3x2 + 12x3) = 0 Combine like terms: 16x2 + 3x2 = 19x2 (-4 + -12x + 19x2 + 12x3) = 0 Solving -4 + -12x + 19x2 + 12x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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