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Simplifying (2x2 + -5x + 6)(-3x2 + 3x + -2) = 0 Reorder the terms: (6 + -5x + 2x2)(-3x2 + 3x + -2) = 0 Reorder the terms: (6 + -5x + 2x2)(-2 + 3x + -3x2) = 0 Multiply (6 + -5x + 2x2) * (-2 + 3x + -3x2) (6(-2 + 3x + -3x2) + -5x * (-2 + 3x + -3x2) + 2x2 * (-2 + 3x + -3x2)) = 0 ((-2 * 6 + 3x * 6 + -3x2 * 6) + -5x * (-2 + 3x + -3x2) + 2x2 * (-2 + 3x + -3x2)) = 0 ((-12 + 18x + -18x2) + -5x * (-2 + 3x + -3x2) + 2x2 * (-2 + 3x + -3x2)) = 0 (-12 + 18x + -18x2 + (-2 * -5x + 3x * -5x + -3x2 * -5x) + 2x2 * (-2 + 3x + -3x2)) = 0 (-12 + 18x + -18x2 + (10x + -15x2 + 15x3) + 2x2 * (-2 + 3x + -3x2)) = 0 (-12 + 18x + -18x2 + 10x + -15x2 + 15x3 + (-2 * 2x2 + 3x * 2x2 + -3x2 * 2x2)) = 0 (-12 + 18x + -18x2 + 10x + -15x2 + 15x3 + (-4x2 + 6x3 + -6x4)) = 0 Reorder the terms: (-12 + 18x + 10x + -18x2 + -15x2 + -4x2 + 15x3 + 6x3 + -6x4) = 0 Combine like terms: 18x + 10x = 28x (-12 + 28x + -18x2 + -15x2 + -4x2 + 15x3 + 6x3 + -6x4) = 0 Combine like terms: -18x2 + -15x2 = -33x2 (-12 + 28x + -33x2 + -4x2 + 15x3 + 6x3 + -6x4) = 0 Combine like terms: -33x2 + -4x2 = -37x2 (-12 + 28x + -37x2 + 15x3 + 6x3 + -6x4) = 0 Combine like terms: 15x3 + 6x3 = 21x3 (-12 + 28x + -37x2 + 21x3 + -6x4) = 0 Solving -12 + 28x + -37x2 + 21x3 + -6x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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