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Simplifying (3x2 + 5x + -7)(9x2 + -8x + 4) = 0 Reorder the terms: (-7 + 5x + 3x2)(9x2 + -8x + 4) = 0 Reorder the terms: (-7 + 5x + 3x2)(4 + -8x + 9x2) = 0 Multiply (-7 + 5x + 3x2) * (4 + -8x + 9x2) (-7(4 + -8x + 9x2) + 5x * (4 + -8x + 9x2) + 3x2 * (4 + -8x + 9x2)) = 0 ((4 * -7 + -8x * -7 + 9x2 * -7) + 5x * (4 + -8x + 9x2) + 3x2 * (4 + -8x + 9x2)) = 0 ((-28 + 56x + -63x2) + 5x * (4 + -8x + 9x2) + 3x2 * (4 + -8x + 9x2)) = 0 (-28 + 56x + -63x2 + (4 * 5x + -8x * 5x + 9x2 * 5x) + 3x2 * (4 + -8x + 9x2)) = 0 (-28 + 56x + -63x2 + (20x + -40x2 + 45x3) + 3x2 * (4 + -8x + 9x2)) = 0 (-28 + 56x + -63x2 + 20x + -40x2 + 45x3 + (4 * 3x2 + -8x * 3x2 + 9x2 * 3x2)) = 0 (-28 + 56x + -63x2 + 20x + -40x2 + 45x3 + (12x2 + -24x3 + 27x4)) = 0 Reorder the terms: (-28 + 56x + 20x + -63x2 + -40x2 + 12x2 + 45x3 + -24x3 + 27x4) = 0 Combine like terms: 56x + 20x = 76x (-28 + 76x + -63x2 + -40x2 + 12x2 + 45x3 + -24x3 + 27x4) = 0 Combine like terms: -63x2 + -40x2 = -103x2 (-28 + 76x + -103x2 + 12x2 + 45x3 + -24x3 + 27x4) = 0 Combine like terms: -103x2 + 12x2 = -91x2 (-28 + 76x + -91x2 + 45x3 + -24x3 + 27x4) = 0 Combine like terms: 45x3 + -24x3 = 21x3 (-28 + 76x + -91x2 + 21x3 + 27x4) = 0 Solving -28 + 76x + -91x2 + 21x3 + 27x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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