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Simplifying (x + 2)(4x + -8)(x + 3)(x2 + -3x + 2) = 0 Reorder the terms: (2 + x)(4x + -8)(x + 3)(x2 + -3x + 2) = 0 Reorder the terms: (2 + x)(-8 + 4x)(x + 3)(x2 + -3x + 2) = 0 Reorder the terms: (2 + x)(-8 + 4x)(3 + x)(x2 + -3x + 2) = 0 Reorder the terms: (2 + x)(-8 + 4x)(3 + x)(2 + -3x + x2) = 0 Multiply (2 + x) * (-8 + 4x) (2(-8 + 4x) + x(-8 + 4x))(3 + x)(2 + -3x + x2) = 0 ((-8 * 2 + 4x * 2) + x(-8 + 4x))(3 + x)(2 + -3x + x2) = 0 ((-16 + 8x) + x(-8 + 4x))(3 + x)(2 + -3x + x2) = 0 (-16 + 8x + (-8 * x + 4x * x))(3 + x)(2 + -3x + x2) = 0 (-16 + 8x + (-8x + 4x2))(3 + x)(2 + -3x + x2) = 0 Combine like terms: 8x + -8x = 0 (-16 + 0 + 4x2)(3 + x)(2 + -3x + x2) = 0 (-16 + 4x2)(3 + x)(2 + -3x + x2) = 0 Multiply (-16 + 4x2) * (3 + x) (-16(3 + x) + 4x2 * (3 + x))(2 + -3x + x2) = 0 ((3 * -16 + x * -16) + 4x2 * (3 + x))(2 + -3x + x2) = 0 ((-48 + -16x) + 4x2 * (3 + x))(2 + -3x + x2) = 0 (-48 + -16x + (3 * 4x2 + x * 4x2))(2 + -3x + x2) = 0 (-48 + -16x + (12x2 + 4x3))(2 + -3x + x2) = 0 (-48 + -16x + 12x2 + 4x3)(2 + -3x + x2) = 0 Multiply (-48 + -16x + 12x2 + 4x3) * (2 + -3x + x2) (-48(2 + -3x + x2) + -16x * (2 + -3x + x2) + 12x2 * (2 + -3x + x2) + 4x3 * (2 + -3x + x2)) = 0 ((2 * -48 + -3x * -48 + x2 * -48) + -16x * (2 + -3x + x2) + 12x2 * (2 + -3x + x2) + 4x3 * (2 + -3x + x2)) = 0 ((-96 + 144x + -48x2) + -16x * (2 + -3x + x2) + 12x2 * (2 + -3x + x2) + 4x3 * (2 + -3x + x2)) = 0 (-96 + 144x + -48x2 + (2 * -16x + -3x * -16x + x2 * -16x) + 12x2 * (2 + -3x + x2) + 4x3 * (2 + -3x + x2)) = 0 (-96 + 144x + -48x2 + (-32x + 48x2 + -16x3) + 12x2 * (2 + -3x + x2) + 4x3 * (2 + -3x + x2)) = 0 (-96 + 144x + -48x2 + -32x + 48x2 + -16x3 + (2 * 12x2 + -3x * 12x2 + x2 * 12x2) + 4x3 * (2 + -3x + x2)) = 0 (-96 + 144x + -48x2 + -32x + 48x2 + -16x3 + (24x2 + -36x3 + 12x4) + 4x3 * (2 + -3x + x2)) = 0 (-96 + 144x + -48x2 + -32x + 48x2 + -16x3 + 24x2 + -36x3 + 12x4 + (2 * 4x3 + -3x * 4x3 + x2 * 4x3)) = 0 (-96 + 144x + -48x2 + -32x + 48x2 + -16x3 + 24x2 + -36x3 + 12x4 + (8x3 + -12x4 + 4x5)) = 0 Reorder the terms: (-96 + 144x + -32x + -48x2 + 48x2 + 24x2 + -16x3 + -36x3 + 8x3 + 12x4 + -12x4 + 4x5) = 0 Combine like terms: 144x + -32x = 112x (-96 + 112x + -48x2 + 48x2 + 24x2 + -16x3 + -36x3 + 8x3 + 12x4 + -12x4 + 4x5) = 0 Combine like terms: -48x2 + 48x2 = 0 (-96 + 112x + 0 + 24x2 + -16x3 + -36x3 + 8x3 + 12x4 + -12x4 + 4x5) = 0 (-96 + 112x + 24x2 + -16x3 + -36x3 + 8x3 + 12x4 + -12x4 + 4x5) = 0 Combine like terms: -16x3 + -36x3 = -52x3 (-96 + 112x + 24x2 + -52x3 + 8x3 + 12x4 + -12x4 + 4x5) = 0 Combine like terms: -52x3 + 8x3 = -44x3 (-96 + 112x + 24x2 + -44x3 + 12x4 + -12x4 + 4x5) = 0 Combine like terms: 12x4 + -12x4 = 0 (-96 + 112x + 24x2 + -44x3 + 0 + 4x5) = 0 (-96 + 112x + 24x2 + -44x3 + 4x5) = 0 Solving -96 + 112x + 24x2 + -44x3 + 4x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-24 + 28x + 6x2 + -11x3 + x5) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-24 + 28x + 6x2 + -11x3 + x5)' equal to zero and attempt to solve: Simplifying -24 + 28x + 6x2 + -11x3 + x5 = 0 Solving -24 + 28x + 6x2 + -11x3 + x5 = 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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