Find the equation of the circle having center in the first quadrant, touching the x-axis, having a common tangent y=3^(1/2)x+4 with the circle x^2+y^2+4x+4y+4=0 such that the distance between the two circles along the x-axis is 3 units.

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Find the equation of the circle having center in the first quadrant, touching the x-axis, having a common tangent y=3^(1/2)x+4 with the circle x^2+y^2+4x+4y+4=0 such that the distance between the two circles along the x-axis is 3 units.

Find the equation of the circle having center in the first quadrant, touching the x-axis, having a common tangent y=3^(1/2)x+4 with the circle x^2+y^2+4x+4y+4=0 such that the distance between the two circles along the x-axis is 3 units.

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Find the equation of the circle having center in the first quadrant, touching the x-axis, having a common tangent y=3^(1/2)x+4 with the circle x^2+y^2+4x+4y+4=0 such that the distance between the two circles along the x-axis is 3 units.

Find the equation of the circle having center in the first quadrant, touching the x-axis, having a common tangent y=3^(1/2)x+4 with the circle x^2+y^2+4x+4y+4=0 such that the distance between the two circles along the x-axis is 3 units.

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