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Simplifying (x + 1)(2x + -3)(2x + 5)(x + 3) = 945 Reorder the terms: (1 + x)(2x + -3)(2x + 5)(x + 3) = 945 Reorder the terms: (1 + x)(-3 + 2x)(2x + 5)(x + 3) = 945 Reorder the terms: (1 + x)(-3 + 2x)(5 + 2x)(x + 3) = 945 Reorder the terms: (1 + x)(-3 + 2x)(5 + 2x)(3 + x) = 945 Multiply (1 + x) * (-3 + 2x) (1(-3 + 2x) + x(-3 + 2x))(5 + 2x)(3 + x) = 945 ((-3 * 1 + 2x * 1) + x(-3 + 2x))(5 + 2x)(3 + x) = 945 ((-3 + 2x) + x(-3 + 2x))(5 + 2x)(3 + x) = 945 (-3 + 2x + (-3 * x + 2x * x))(5 + 2x)(3 + x) = 945 (-3 + 2x + (-3x + 2x2))(5 + 2x)(3 + x) = 945 Combine like terms: 2x + -3x = -1x (-3 + -1x + 2x2)(5 + 2x)(3 + x) = 945 Multiply (-3 + -1x + 2x2) * (5 + 2x) (-3(5 + 2x) + -1x * (5 + 2x) + 2x2 * (5 + 2x))(3 + x) = 945 ((5 * -3 + 2x * -3) + -1x * (5 + 2x) + 2x2 * (5 + 2x))(3 + x) = 945 ((-15 + -6x) + -1x * (5 + 2x) + 2x2 * (5 + 2x))(3 + x) = 945 (-15 + -6x + (5 * -1x + 2x * -1x) + 2x2 * (5 + 2x))(3 + x) = 945 (-15 + -6x + (-5x + -2x2) + 2x2 * (5 + 2x))(3 + x) = 945 (-15 + -6x + -5x + -2x2 + (5 * 2x2 + 2x * 2x2))(3 + x) = 945 (-15 + -6x + -5x + -2x2 + (10x2 + 4x3))(3 + x) = 945 Combine like terms: -6x + -5x = -11x (-15 + -11x + -2x2 + 10x2 + 4x3)(3 + x) = 945 Combine like terms: -2x2 + 10x2 = 8x2 (-15 + -11x + 8x2 + 4x3)(3 + x) = 945 Multiply (-15 + -11x + 8x2 + 4x3) * (3 + x) (-15(3 + x) + -11x * (3 + x) + 8x2 * (3 + x) + 4x3 * (3 + x)) = 945 ((3 * -15 + x * -15) + -11x * (3 + x) + 8x2 * (3 + x) + 4x3 * (3 + x)) = 945 ((-45 + -15x) + -11x * (3 + x) + 8x2 * (3 + x) + 4x3 * (3 + x)) = 945 (-45 + -15x + (3 * -11x + x * -11x) + 8x2 * (3 + x) + 4x3 * (3 + x)) = 945 (-45 + -15x + (-33x + -11x2) + 8x2 * (3 + x) + 4x3 * (3 + x)) = 945 (-45 + -15x + -33x + -11x2 + (3 * 8x2 + x * 8x2) + 4x3 * (3 + x)) = 945 (-45 + -15x + -33x + -11x2 + (24x2 + 8x3) + 4x3 * (3 + x)) = 945 (-45 + -15x + -33x + -11x2 + 24x2 + 8x3 + (3 * 4x3 + x * 4x3)) = 945 (-45 + -15x + -33x + -11x2 + 24x2 + 8x3 + (12x3 + 4x4)) = 945 Combine like terms: -15x + -33x = -48x (-45 + -48x + -11x2 + 24x2 + 8x3 + 12x3 + 4x4) = 945 Combine like terms: -11x2 + 24x2 = 13x2 (-45 + -48x + 13x2 + 8x3 + 12x3 + 4x4) = 945 Combine like terms: 8x3 + 12x3 = 20x3 (-45 + -48x + 13x2 + 20x3 + 4x4) = 945 Solving -45 + -48x + 13x2 + 20x3 + 4x4 = 945 Solving for variable 'x'. Reorder the terms: -45 + -945 + -48x + 13x2 + 20x3 + 4x4 = 945 + -945 Combine like terms: -45 + -945 = -990 -990 + -48x + 13x2 + 20x3 + 4x4 = 945 + -945 Combine like terms: 945 + -945 = 0 -990 + -48x + 13x2 + 20x3 + 4x4 = 0 The solution to this equation could not be determined.
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