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Simplifying (3x2 + -4xy + y2)(4x + 3y) = 0 Reorder the terms: (-4xy + 3x2 + y2)(4x + 3y) = 0 Multiply (-4xy + 3x2 + y2) * (4x + 3y) (-4xy * (4x + 3y) + 3x2 * (4x + 3y) + y2(4x + 3y)) = 0 ((4x * -4xy + 3y * -4xy) + 3x2 * (4x + 3y) + y2(4x + 3y)) = 0 Reorder the terms: ((-12xy2 + -16x2y) + 3x2 * (4x + 3y) + y2(4x + 3y)) = 0 ((-12xy2 + -16x2y) + 3x2 * (4x + 3y) + y2(4x + 3y)) = 0 (-12xy2 + -16x2y + (4x * 3x2 + 3y * 3x2) + y2(4x + 3y)) = 0 Reorder the terms: (-12xy2 + -16x2y + (9x2y + 12x3) + y2(4x + 3y)) = 0 (-12xy2 + -16x2y + (9x2y + 12x3) + y2(4x + 3y)) = 0 (-12xy2 + -16x2y + 9x2y + 12x3 + (4x * y2 + 3y * y2)) = 0 (-12xy2 + -16x2y + 9x2y + 12x3 + (4xy2 + 3y3)) = 0 Reorder the terms: (-12xy2 + 4xy2 + -16x2y + 9x2y + 12x3 + 3y3) = 0 Combine like terms: -12xy2 + 4xy2 = -8xy2 (-8xy2 + -16x2y + 9x2y + 12x3 + 3y3) = 0 Combine like terms: -16x2y + 9x2y = -7x2y (-8xy2 + -7x2y + 12x3 + 3y3) = 0 Solving -8xy2 + -7x2y + 12x3 + 3y3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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