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Simplifying (2x + -1)(4x3 + 2x2 + -1x + 2) = 12x3 + -20x2 + 11x + -2 Reorder the terms: (-1 + 2x)(4x3 + 2x2 + -1x + 2) = 12x3 + -20x2 + 11x + -2 Reorder the terms: (-1 + 2x)(2 + -1x + 2x2 + 4x3) = 12x3 + -20x2 + 11x + -2 Multiply (-1 + 2x) * (2 + -1x + 2x2 + 4x3) (-1(2 + -1x + 2x2 + 4x3) + 2x * (2 + -1x + 2x2 + 4x3)) = 12x3 + -20x2 + 11x + -2 ((2 * -1 + -1x * -1 + 2x2 * -1 + 4x3 * -1) + 2x * (2 + -1x + 2x2 + 4x3)) = 12x3 + -20x2 + 11x + -2 ((-2 + 1x + -2x2 + -4x3) + 2x * (2 + -1x + 2x2 + 4x3)) = 12x3 + -20x2 + 11x + -2 (-2 + 1x + -2x2 + -4x3 + (2 * 2x + -1x * 2x + 2x2 * 2x + 4x3 * 2x)) = 12x3 + -20x2 + 11x + -2 (-2 + 1x + -2x2 + -4x3 + (4x + -2x2 + 4x3 + 8x4)) = 12x3 + -20x2 + 11x + -2 Reorder the terms: (-2 + 1x + 4x + -2x2 + -2x2 + -4x3 + 4x3 + 8x4) = 12x3 + -20x2 + 11x + -2 Combine like terms: 1x + 4x = 5x (-2 + 5x + -2x2 + -2x2 + -4x3 + 4x3 + 8x4) = 12x3 + -20x2 + 11x + -2 Combine like terms: -2x2 + -2x2 = -4x2 (-2 + 5x + -4x2 + -4x3 + 4x3 + 8x4) = 12x3 + -20x2 + 11x + -2 Combine like terms: -4x3 + 4x3 = 0 (-2 + 5x + -4x2 + 0 + 8x4) = 12x3 + -20x2 + 11x + -2 (-2 + 5x + -4x2 + 8x4) = 12x3 + -20x2 + 11x + -2 Reorder the terms: -2 + 5x + -4x2 + 8x4 = -2 + 11x + -20x2 + 12x3 Add '2' to each side of the equation. -2 + 5x + -4x2 + 2 + 8x4 = -2 + 11x + -20x2 + 2 + 12x3 Reorder the terms: -2 + 2 + 5x + -4x2 + 8x4 = -2 + 11x + -20x2 + 2 + 12x3 Combine like terms: -2 + 2 = 0 0 + 5x + -4x2 + 8x4 = -2 + 11x + -20x2 + 2 + 12x3 5x + -4x2 + 8x4 = -2 + 11x + -20x2 + 2 + 12x3 Reorder the terms: 5x + -4x2 + 8x4 = -2 + 2 + 11x + -20x2 + 12x3 Combine like terms: -2 + 2 = 0 5x + -4x2 + 8x4 = 0 + 11x + -20x2 + 12x3 5x + -4x2 + 8x4 = 11x + -20x2 + 12x3 Solving 5x + -4x2 + 8x4 = 11x + -20x2 + 12x3 Solving for variable 'x'. Reorder the terms: 5x + -11x + -4x2 + 20x2 + -12x3 + 8x4 = 11x + -20x2 + 12x3 + -11x + 20x2 + -12x3 Combine like terms: 5x + -11x = -6x -6x + -4x2 + 20x2 + -12x3 + 8x4 = 11x + -20x2 + 12x3 + -11x + 20x2 + -12x3 Combine like terms: -4x2 + 20x2 = 16x2 -6x + 16x2 + -12x3 + 8x4 = 11x + -20x2 + 12x3 + -11x + 20x2 + -12x3 Reorder the terms: -6x + 16x2 + -12x3 + 8x4 = 11x + -11x + -20x2 + 20x2 + 12x3 + -12x3 Combine like terms: 11x + -11x = 0 -6x + 16x2 + -12x3 + 8x4 = 0 + -20x2 + 20x2 + 12x3 + -12x3 -6x + 16x2 + -12x3 + 8x4 = -20x2 + 20x2 + 12x3 + -12x3 Combine like terms: -20x2 + 20x2 = 0 -6x + 16x2 + -12x3 + 8x4 = 0 + 12x3 + -12x3 -6x + 16x2 + -12x3 + 8x4 = 12x3 + -12x3 Combine like terms: 12x3 + -12x3 = 0 -6x + 16x2 + -12x3 + 8x4 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-3 + 8x + -6x2 + 4x3) = 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 '(-3 + 8x + -6x2 + 4x3)' equal to zero and attempt to solve: Simplifying -3 + 8x + -6x2 + 4x3 = 0 Solving -3 + 8x + -6x2 + 4x3 = 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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