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Simplifying 0 = (x + 1)(x + -4)(3 + -2x) Reorder the terms: 0 = (1 + x)(x + -4)(3 + -2x) Reorder the terms: 0 = (1 + x)(-4 + x)(3 + -2x) Multiply (1 + x) * (-4 + x) 0 = (1(-4 + x) + x(-4 + x))(3 + -2x) 0 = ((-4 * 1 + x * 1) + x(-4 + x))(3 + -2x) 0 = ((-4 + 1x) + x(-4 + x))(3 + -2x) 0 = (-4 + 1x + (-4 * x + x * x))(3 + -2x) 0 = (-4 + 1x + (-4x + x2))(3 + -2x) Combine like terms: 1x + -4x = -3x 0 = (-4 + -3x + x2)(3 + -2x) Multiply (-4 + -3x + x2) * (3 + -2x) 0 = (-4(3 + -2x) + -3x * (3 + -2x) + x2(3 + -2x)) 0 = ((3 * -4 + -2x * -4) + -3x * (3 + -2x) + x2(3 + -2x)) 0 = ((-12 + 8x) + -3x * (3 + -2x) + x2(3 + -2x)) 0 = (-12 + 8x + (3 * -3x + -2x * -3x) + x2(3 + -2x)) 0 = (-12 + 8x + (-9x + 6x2) + x2(3 + -2x)) 0 = (-12 + 8x + -9x + 6x2 + (3 * x2 + -2x * x2)) 0 = (-12 + 8x + -9x + 6x2 + (3x2 + -2x3)) Combine like terms: 8x + -9x = -1x 0 = (-12 + -1x + 6x2 + 3x2 + -2x3) Combine like terms: 6x2 + 3x2 = 9x2 0 = (-12 + -1x + 9x2 + -2x3) Solving 0 = -12 + -1x + 9x2 + -2x3 Solving for variable 'x'. Combine like terms: 0 + 12 = 12 12 + x + -9x2 + 2x3 = -12 + -1x + 9x2 + -2x3 + 12 + x + -9x2 + 2x3 Reorder the terms: 12 + x + -9x2 + 2x3 = -12 + 12 + -1x + x + 9x2 + -9x2 + -2x3 + 2x3 Combine like terms: -12 + 12 = 0 12 + x + -9x2 + 2x3 = 0 + -1x + x + 9x2 + -9x2 + -2x3 + 2x3 12 + x + -9x2 + 2x3 = -1x + x + 9x2 + -9x2 + -2x3 + 2x3 Combine like terms: -1x + x = 0 12 + x + -9x2 + 2x3 = 0 + 9x2 + -9x2 + -2x3 + 2x3 12 + x + -9x2 + 2x3 = 9x2 + -9x2 + -2x3 + 2x3 Combine like terms: 9x2 + -9x2 = 0 12 + x + -9x2 + 2x3 = 0 + -2x3 + 2x3 12 + x + -9x2 + 2x3 = -2x3 + 2x3 Combine like terms: -2x3 + 2x3 = 0 12 + x + -9x2 + 2x3 = 0 The solution to this equation could not be determined.
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