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Simplifying (2x + 8) * x(8x2 + 2x + 3) = 0 Reorder the terms: (8 + 2x) * x(8x2 + 2x + 3) = 0 Reorder the terms: (8 + 2x) * x(3 + 2x + 8x2) = 0 Reorder the terms for easier multiplication: x(8 + 2x)(3 + 2x + 8x2) = 0 Multiply (8 + 2x) * (3 + 2x + 8x2) x(8(3 + 2x + 8x2) + 2x * (3 + 2x + 8x2)) = 0 x((3 * 8 + 2x * 8 + 8x2 * 8) + 2x * (3 + 2x + 8x2)) = 0 x((24 + 16x + 64x2) + 2x * (3 + 2x + 8x2)) = 0 x(24 + 16x + 64x2 + (3 * 2x + 2x * 2x + 8x2 * 2x)) = 0 x(24 + 16x + 64x2 + (6x + 4x2 + 16x3)) = 0 Reorder the terms: x(24 + 16x + 6x + 64x2 + 4x2 + 16x3) = 0 Combine like terms: 16x + 6x = 22x x(24 + 22x + 64x2 + 4x2 + 16x3) = 0 Combine like terms: 64x2 + 4x2 = 68x2 x(24 + 22x + 68x2 + 16x3) = 0 (24 * x + 22x * x + 68x2 * x + 16x3 * x) = 0 (24x + 22x2 + 68x3 + 16x4) = 0 Solving 24x + 22x2 + 68x3 + 16x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(12 + 11x + 34x2 + 8x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(12 + 11x + 34x2 + 8x3)' equal to zero and attempt to solve: Simplifying 12 + 11x + 34x2 + 8x3 = 0 Solving 12 + 11x + 34x2 + 8x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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