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Simplifying (3x2 + -2x2 + -8x)(4x2 + -12x + 8) = 0 Reorder the terms: (-8x + 3x2 + -2x2)(4x2 + -12x + 8) = 0 Combine like terms: 3x2 + -2x2 = 1x2 (-8x + 1x2)(4x2 + -12x + 8) = 0 Reorder the terms: (-8x + 1x2)(8 + -12x + 4x2) = 0 Multiply (-8x + 1x2) * (8 + -12x + 4x2) (-8x * (8 + -12x + 4x2) + 1x2 * (8 + -12x + 4x2)) = 0 ((8 * -8x + -12x * -8x + 4x2 * -8x) + 1x2 * (8 + -12x + 4x2)) = 0 ((-64x + 96x2 + -32x3) + 1x2 * (8 + -12x + 4x2)) = 0 (-64x + 96x2 + -32x3 + (8 * 1x2 + -12x * 1x2 + 4x2 * 1x2)) = 0 (-64x + 96x2 + -32x3 + (8x2 + -12x3 + 4x4)) = 0 Reorder the terms: (-64x + 96x2 + 8x2 + -32x3 + -12x3 + 4x4) = 0 Combine like terms: 96x2 + 8x2 = 104x2 (-64x + 104x2 + -32x3 + -12x3 + 4x4) = 0 Combine like terms: -32x3 + -12x3 = -44x3 (-64x + 104x2 + -44x3 + 4x4) = 0 Solving -64x + 104x2 + -44x3 + 4x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-16 + 26x + -11x2 + x3) = 0 Ignore the factor 4.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 '(-16 + 26x + -11x2 + x3)' equal to zero and attempt to solve: Simplifying -16 + 26x + -11x2 + x3 = 0 Solving -16 + 26x + -11x2 + x3 = 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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