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Simplifying (8x3 + 2x2 + -7x + 2)(2x + -1) = 0 Reorder the terms: (2 + -7x + 2x2 + 8x3)(2x + -1) = 0 Reorder the terms: (2 + -7x + 2x2 + 8x3)(-1 + 2x) = 0 Multiply (2 + -7x + 2x2 + 8x3) * (-1 + 2x) (2(-1 + 2x) + -7x * (-1 + 2x) + 2x2 * (-1 + 2x) + 8x3 * (-1 + 2x)) = 0 ((-1 * 2 + 2x * 2) + -7x * (-1 + 2x) + 2x2 * (-1 + 2x) + 8x3 * (-1 + 2x)) = 0 ((-2 + 4x) + -7x * (-1 + 2x) + 2x2 * (-1 + 2x) + 8x3 * (-1 + 2x)) = 0 (-2 + 4x + (-1 * -7x + 2x * -7x) + 2x2 * (-1 + 2x) + 8x3 * (-1 + 2x)) = 0 (-2 + 4x + (7x + -14x2) + 2x2 * (-1 + 2x) + 8x3 * (-1 + 2x)) = 0 (-2 + 4x + 7x + -14x2 + (-1 * 2x2 + 2x * 2x2) + 8x3 * (-1 + 2x)) = 0 (-2 + 4x + 7x + -14x2 + (-2x2 + 4x3) + 8x3 * (-1 + 2x)) = 0 (-2 + 4x + 7x + -14x2 + -2x2 + 4x3 + (-1 * 8x3 + 2x * 8x3)) = 0 (-2 + 4x + 7x + -14x2 + -2x2 + 4x3 + (-8x3 + 16x4)) = 0 Combine like terms: 4x + 7x = 11x (-2 + 11x + -14x2 + -2x2 + 4x3 + -8x3 + 16x4) = 0 Combine like terms: -14x2 + -2x2 = -16x2 (-2 + 11x + -16x2 + 4x3 + -8x3 + 16x4) = 0 Combine like terms: 4x3 + -8x3 = -4x3 (-2 + 11x + -16x2 + -4x3 + 16x4) = 0 Solving -2 + 11x + -16x2 + -4x3 + 16x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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