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Simplifying (8x3 + 8x2 + -40x + 24)(4x3 + 20x2 + 12x + -36) = 0 Reorder the terms: (24 + -40x + 8x2 + 8x3)(4x3 + 20x2 + 12x + -36) = 0 Reorder the terms: (24 + -40x + 8x2 + 8x3)(-36 + 12x + 20x2 + 4x3) = 0 Multiply (24 + -40x + 8x2 + 8x3) * (-36 + 12x + 20x2 + 4x3) (24(-36 + 12x + 20x2 + 4x3) + -40x * (-36 + 12x + 20x2 + 4x3) + 8x2 * (-36 + 12x + 20x2 + 4x3) + 8x3 * (-36 + 12x + 20x2 + 4x3)) = 0 ((-36 * 24 + 12x * 24 + 20x2 * 24 + 4x3 * 24) + -40x * (-36 + 12x + 20x2 + 4x3) + 8x2 * (-36 + 12x + 20x2 + 4x3) + 8x3 * (-36 + 12x + 20x2 + 4x3)) = 0 ((-864 + 288x + 480x2 + 96x3) + -40x * (-36 + 12x + 20x2 + 4x3) + 8x2 * (-36 + 12x + 20x2 + 4x3) + 8x3 * (-36 + 12x + 20x2 + 4x3)) = 0 (-864 + 288x + 480x2 + 96x3 + (-36 * -40x + 12x * -40x + 20x2 * -40x + 4x3 * -40x) + 8x2 * (-36 + 12x + 20x2 + 4x3) + 8x3 * (-36 + 12x + 20x2 + 4x3)) = 0 (-864 + 288x + 480x2 + 96x3 + (1440x + -480x2 + -800x3 + -160x4) + 8x2 * (-36 + 12x + 20x2 + 4x3) + 8x3 * (-36 + 12x + 20x2 + 4x3)) = 0 (-864 + 288x + 480x2 + 96x3 + 1440x + -480x2 + -800x3 + -160x4 + (-36 * 8x2 + 12x * 8x2 + 20x2 * 8x2 + 4x3 * 8x2) + 8x3 * (-36 + 12x + 20x2 + 4x3)) = 0 (-864 + 288x + 480x2 + 96x3 + 1440x + -480x2 + -800x3 + -160x4 + (-288x2 + 96x3 + 160x4 + 32x5) + 8x3 * (-36 + 12x + 20x2 + 4x3)) = 0 (-864 + 288x + 480x2 + 96x3 + 1440x + -480x2 + -800x3 + -160x4 + -288x2 + 96x3 + 160x4 + 32x5 + (-36 * 8x3 + 12x * 8x3 + 20x2 * 8x3 + 4x3 * 8x3)) = 0 (-864 + 288x + 480x2 + 96x3 + 1440x + -480x2 + -800x3 + -160x4 + -288x2 + 96x3 + 160x4 + 32x5 + (-288x3 + 96x4 + 160x5 + 32x6)) = 0 Reorder the terms: (-864 + 288x + 1440x + 480x2 + -480x2 + -288x2 + 96x3 + -800x3 + 96x3 + -288x3 + -160x4 + 160x4 + 96x4 + 32x5 + 160x5 + 32x6) = 0 Combine like terms: 288x + 1440x = 1728x (-864 + 1728x + 480x2 + -480x2 + -288x2 + 96x3 + -800x3 + 96x3 + -288x3 + -160x4 + 160x4 + 96x4 + 32x5 + 160x5 + 32x6) = 0 Combine like terms: 480x2 + -480x2 = 0 (-864 + 1728x + 0 + -288x2 + 96x3 + -800x3 + 96x3 + -288x3 + -160x4 + 160x4 + 96x4 + 32x5 + 160x5 + 32x6) = 0 (-864 + 1728x + -288x2 + 96x3 + -800x3 + 96x3 + -288x3 + -160x4 + 160x4 + 96x4 + 32x5 + 160x5 + 32x6) = 0 Combine like terms: 96x3 + -800x3 = -704x3 (-864 + 1728x + -288x2 + -704x3 + 96x3 + -288x3 + -160x4 + 160x4 + 96x4 + 32x5 + 160x5 + 32x6) = 0 Combine like terms: -704x3 + 96x3 = -608x3 (-864 + 1728x + -288x2 + -608x3 + -288x3 + -160x4 + 160x4 + 96x4 + 32x5 + 160x5 + 32x6) = 0 Combine like terms: -608x3 + -288x3 = -896x3 (-864 + 1728x + -288x2 + -896x3 + -160x4 + 160x4 + 96x4 + 32x5 + 160x5 + 32x6) = 0 Combine like terms: -160x4 + 160x4 = 0 (-864 + 1728x + -288x2 + -896x3 + 0 + 96x4 + 32x5 + 160x5 + 32x6) = 0 (-864 + 1728x + -288x2 + -896x3 + 96x4 + 32x5 + 160x5 + 32x6) = 0 Combine like terms: 32x5 + 160x5 = 192x5 (-864 + 1728x + -288x2 + -896x3 + 96x4 + 192x5 + 32x6) = 0 Solving -864 + 1728x + -288x2 + -896x3 + 96x4 + 192x5 + 32x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '32'. 32(-27 + 54x + -9x2 + -28x3 + 3x4 + 6x5 + x6) = 0 Ignore the factor 32.Subproblem 1
Set the factor '(-27 + 54x + -9x2 + -28x3 + 3x4 + 6x5 + x6)' equal to zero and attempt to solve: Simplifying -27 + 54x + -9x2 + -28x3 + 3x4 + 6x5 + x6 = 0 Solving -27 + 54x + -9x2 + -28x3 + 3x4 + 6x5 + x6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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