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Simplifying (2x2 + -2x + 1)(4x2 + 3x + -7) = 0 Reorder the terms: (1 + -2x + 2x2)(4x2 + 3x + -7) = 0 Reorder the terms: (1 + -2x + 2x2)(-7 + 3x + 4x2) = 0 Multiply (1 + -2x + 2x2) * (-7 + 3x + 4x2) (1(-7 + 3x + 4x2) + -2x * (-7 + 3x + 4x2) + 2x2 * (-7 + 3x + 4x2)) = 0 ((-7 * 1 + 3x * 1 + 4x2 * 1) + -2x * (-7 + 3x + 4x2) + 2x2 * (-7 + 3x + 4x2)) = 0 ((-7 + 3x + 4x2) + -2x * (-7 + 3x + 4x2) + 2x2 * (-7 + 3x + 4x2)) = 0 (-7 + 3x + 4x2 + (-7 * -2x + 3x * -2x + 4x2 * -2x) + 2x2 * (-7 + 3x + 4x2)) = 0 (-7 + 3x + 4x2 + (14x + -6x2 + -8x3) + 2x2 * (-7 + 3x + 4x2)) = 0 (-7 + 3x + 4x2 + 14x + -6x2 + -8x3 + (-7 * 2x2 + 3x * 2x2 + 4x2 * 2x2)) = 0 (-7 + 3x + 4x2 + 14x + -6x2 + -8x3 + (-14x2 + 6x3 + 8x4)) = 0 Reorder the terms: (-7 + 3x + 14x + 4x2 + -6x2 + -14x2 + -8x3 + 6x3 + 8x4) = 0 Combine like terms: 3x + 14x = 17x (-7 + 17x + 4x2 + -6x2 + -14x2 + -8x3 + 6x3 + 8x4) = 0 Combine like terms: 4x2 + -6x2 = -2x2 (-7 + 17x + -2x2 + -14x2 + -8x3 + 6x3 + 8x4) = 0 Combine like terms: -2x2 + -14x2 = -16x2 (-7 + 17x + -16x2 + -8x3 + 6x3 + 8x4) = 0 Combine like terms: -8x3 + 6x3 = -2x3 (-7 + 17x + -16x2 + -2x3 + 8x4) = 0 Solving -7 + 17x + -16x2 + -2x3 + 8x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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