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Simplifying (3x2 + -2x)(2x2 + 3x + -1) = 0 Reorder the terms: (-2x + 3x2)(2x2 + 3x + -1) = 0 Reorder the terms: (-2x + 3x2)(-1 + 3x + 2x2) = 0 Multiply (-2x + 3x2) * (-1 + 3x + 2x2) (-2x * (-1 + 3x + 2x2) + 3x2 * (-1 + 3x + 2x2)) = 0 ((-1 * -2x + 3x * -2x + 2x2 * -2x) + 3x2 * (-1 + 3x + 2x2)) = 0 ((2x + -6x2 + -4x3) + 3x2 * (-1 + 3x + 2x2)) = 0 (2x + -6x2 + -4x3 + (-1 * 3x2 + 3x * 3x2 + 2x2 * 3x2)) = 0 (2x + -6x2 + -4x3 + (-3x2 + 9x3 + 6x4)) = 0 Reorder the terms: (2x + -6x2 + -3x2 + -4x3 + 9x3 + 6x4) = 0 Combine like terms: -6x2 + -3x2 = -9x2 (2x + -9x2 + -4x3 + 9x3 + 6x4) = 0 Combine like terms: -4x3 + 9x3 = 5x3 (2x + -9x2 + 5x3 + 6x4) = 0 Solving 2x + -9x2 + 5x3 + 6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2 + -9x + 5x2 + 6x3) = 0Subproblem 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 '(2 + -9x + 5x2 + 6x3)' equal to zero and attempt to solve: Simplifying 2 + -9x + 5x2 + 6x3 = 0 Solving 2 + -9x + 5x2 + 6x3 = 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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