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Simplifying (2x + -3)(x + 4)(2x + 1) = 266 Reorder the terms: (-3 + 2x)(x + 4)(2x + 1) = 266 Reorder the terms: (-3 + 2x)(4 + x)(2x + 1) = 266 Reorder the terms: (-3 + 2x)(4 + x)(1 + 2x) = 266 Multiply (-3 + 2x) * (4 + x) (-3(4 + x) + 2x * (4 + x))(1 + 2x) = 266 ((4 * -3 + x * -3) + 2x * (4 + x))(1 + 2x) = 266 ((-12 + -3x) + 2x * (4 + x))(1 + 2x) = 266 (-12 + -3x + (4 * 2x + x * 2x))(1 + 2x) = 266 (-12 + -3x + (8x + 2x2))(1 + 2x) = 266 Combine like terms: -3x + 8x = 5x (-12 + 5x + 2x2)(1 + 2x) = 266 Multiply (-12 + 5x + 2x2) * (1 + 2x) (-12(1 + 2x) + 5x * (1 + 2x) + 2x2 * (1 + 2x)) = 266 ((1 * -12 + 2x * -12) + 5x * (1 + 2x) + 2x2 * (1 + 2x)) = 266 ((-12 + -24x) + 5x * (1 + 2x) + 2x2 * (1 + 2x)) = 266 (-12 + -24x + (1 * 5x + 2x * 5x) + 2x2 * (1 + 2x)) = 266 (-12 + -24x + (5x + 10x2) + 2x2 * (1 + 2x)) = 266 (-12 + -24x + 5x + 10x2 + (1 * 2x2 + 2x * 2x2)) = 266 (-12 + -24x + 5x + 10x2 + (2x2 + 4x3)) = 266 Combine like terms: -24x + 5x = -19x (-12 + -19x + 10x2 + 2x2 + 4x3) = 266 Combine like terms: 10x2 + 2x2 = 12x2 (-12 + -19x + 12x2 + 4x3) = 266 Solving -12 + -19x + 12x2 + 4x3 = 266 Solving for variable 'x'. Reorder the terms: -12 + -266 + -19x + 12x2 + 4x3 = 266 + -266 Combine like terms: -12 + -266 = -278 -278 + -19x + 12x2 + 4x3 = 266 + -266 Combine like terms: 266 + -266 = 0 -278 + -19x + 12x2 + 4x3 = 0 The solution to this equation could not be determined.
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