Find the standard equation of the given general form of the hyperbola . Please show me the steps  9x^2-16y^2-36x-64y+116=0

Write the equation of a circle passing through the vertices of the hyperbola 4x2-9y2=36 and having a center at point A (0, 4)

Identify the general equation, as well as the coordinates of the foci of the following ellipse that has the following conditions: Vertices (-1, 3) and (5, 3), with axis length less than 4:   A . 4x^2+9y^2 - 16x - 54y + 61=0, Focsi F1 = (2+√5, 3), F2=(2 - √5, 3) B. 16x^2+36y^2 - 64x - 216y - 188 = 0, Focis F1=(2+√20, 3), F2=(2 - √20, 3) C. 9x^2+4y^2 - 54x -16y + 61=0, Focis F1 = (2, 3+√5), F2=(2, 3 - √5 ) D. 36x^2+16y^2 - 216x - 64y +188 = 0, Focis F1=(2, 3+√20), F2=(2, 3 - √20)