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Simplifying (4x2 + -8x + -2)(x4 + 3x2 + 4x) = 0 Reorder the terms: (-2 + -8x + 4x2)(x4 + 3x2 + 4x) = 0 Reorder the terms: (-2 + -8x + 4x2)(4x + 3x2 + x4) = 0 Multiply (-2 + -8x + 4x2) * (4x + 3x2 + x4) (-2(4x + 3x2 + x4) + -8x * (4x + 3x2 + x4) + 4x2 * (4x + 3x2 + x4)) = 0 ((4x * -2 + 3x2 * -2 + x4 * -2) + -8x * (4x + 3x2 + x4) + 4x2 * (4x + 3x2 + x4)) = 0 ((-8x + -6x2 + -2x4) + -8x * (4x + 3x2 + x4) + 4x2 * (4x + 3x2 + x4)) = 0 (-8x + -6x2 + -2x4 + (4x * -8x + 3x2 * -8x + x4 * -8x) + 4x2 * (4x + 3x2 + x4)) = 0 (-8x + -6x2 + -2x4 + (-32x2 + -24x3 + -8x5) + 4x2 * (4x + 3x2 + x4)) = 0 (-8x + -6x2 + -2x4 + -32x2 + -24x3 + -8x5 + (4x * 4x2 + 3x2 * 4x2 + x4 * 4x2)) = 0 (-8x + -6x2 + -2x4 + -32x2 + -24x3 + -8x5 + (16x3 + 12x4 + 4x6)) = 0 Reorder the terms: (-8x + -6x2 + -32x2 + -24x3 + 16x3 + -2x4 + 12x4 + -8x5 + 4x6) = 0 Combine like terms: -6x2 + -32x2 = -38x2 (-8x + -38x2 + -24x3 + 16x3 + -2x4 + 12x4 + -8x5 + 4x6) = 0 Combine like terms: -24x3 + 16x3 = -8x3 (-8x + -38x2 + -8x3 + -2x4 + 12x4 + -8x5 + 4x6) = 0 Combine like terms: -2x4 + 12x4 = 10x4 (-8x + -38x2 + -8x3 + 10x4 + -8x5 + 4x6) = 0 Solving -8x + -38x2 + -8x3 + 10x4 + -8x5 + 4x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-4 + -19x + -4x2 + 5x3 + -4x4 + 2x5) = 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 '(-4 + -19x + -4x2 + 5x3 + -4x4 + 2x5)' equal to zero and attempt to solve: Simplifying -4 + -19x + -4x2 + 5x3 + -4x4 + 2x5 = 0 Solving -4 + -19x + -4x2 + 5x3 + -4x4 + 2x5 = 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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