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Simplifying 4x + 8 = (8x2 + 32x)(x + -2)(x + -2) Reorder the terms: 8 + 4x = (8x2 + 32x)(x + -2)(x + -2) Reorder the terms: 8 + 4x = (32x + 8x2)(x + -2)(x + -2) Reorder the terms: 8 + 4x = (32x + 8x2)(-2 + x)(x + -2) Reorder the terms: 8 + 4x = (32x + 8x2)(-2 + x)(-2 + x) Multiply (32x + 8x2) * (-2 + x) 8 + 4x = (32x * (-2 + x) + 8x2 * (-2 + x))(-2 + x) 8 + 4x = ((-2 * 32x + x * 32x) + 8x2 * (-2 + x))(-2 + x) 8 + 4x = ((-64x + 32x2) + 8x2 * (-2 + x))(-2 + x) 8 + 4x = (-64x + 32x2 + (-2 * 8x2 + x * 8x2))(-2 + x) 8 + 4x = (-64x + 32x2 + (-16x2 + 8x3))(-2 + x) Combine like terms: 32x2 + -16x2 = 16x2 8 + 4x = (-64x + 16x2 + 8x3)(-2 + x) Multiply (-64x + 16x2 + 8x3) * (-2 + x) 8 + 4x = (-64x * (-2 + x) + 16x2 * (-2 + x) + 8x3 * (-2 + x)) 8 + 4x = ((-2 * -64x + x * -64x) + 16x2 * (-2 + x) + 8x3 * (-2 + x)) 8 + 4x = ((128x + -64x2) + 16x2 * (-2 + x) + 8x3 * (-2 + x)) 8 + 4x = (128x + -64x2 + (-2 * 16x2 + x * 16x2) + 8x3 * (-2 + x)) 8 + 4x = (128x + -64x2 + (-32x2 + 16x3) + 8x3 * (-2 + x)) 8 + 4x = (128x + -64x2 + -32x2 + 16x3 + (-2 * 8x3 + x * 8x3)) 8 + 4x = (128x + -64x2 + -32x2 + 16x3 + (-16x3 + 8x4)) Combine like terms: -64x2 + -32x2 = -96x2 8 + 4x = (128x + -96x2 + 16x3 + -16x3 + 8x4) Combine like terms: 16x3 + -16x3 = 0 8 + 4x = (128x + -96x2 + 0 + 8x4) 8 + 4x = (128x + -96x2 + 8x4) Solving 8 + 4x = 128x + -96x2 + 8x4 Solving for variable 'x'. Combine like terms: 4x + -128x = -124x 8 + -124x + 96x2 + -8x4 = 128x + -96x2 + 8x4 + -128x + 96x2 + -8x4 Reorder the terms: 8 + -124x + 96x2 + -8x4 = 128x + -128x + -96x2 + 96x2 + 8x4 + -8x4 Combine like terms: 128x + -128x = 0 8 + -124x + 96x2 + -8x4 = 0 + -96x2 + 96x2 + 8x4 + -8x4 8 + -124x + 96x2 + -8x4 = -96x2 + 96x2 + 8x4 + -8x4 Combine like terms: -96x2 + 96x2 = 0 8 + -124x + 96x2 + -8x4 = 0 + 8x4 + -8x4 8 + -124x + 96x2 + -8x4 = 8x4 + -8x4 Combine like terms: 8x4 + -8x4 = 0 8 + -124x + 96x2 + -8x4 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -31x + 24x2 + -2x4) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -31x + 24x2 + -2x4)' equal to zero and attempt to solve: Simplifying 2 + -31x + 24x2 + -2x4 = 0 Solving 2 + -31x + 24x2 + -2x4 = 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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