4y^2/9=(-2y+7)/4

Solution for 4y^2/9=(-2y+7)/4 equation:

y in (-oo:+oo)

(4*y^2)/9 = (7-2*y)/4 // - (7-2*y)/4

(4*y^2)/9-((7-2*y)/4) = 0

(-1*(7-2*y))/4+(4*y^2)/9 = 0

(-1*9*(7-2*y))/(4*9)+(4*4*y^2)/(4*9) = 0

4*4*y^2-1*9*(7-2*y) = 0

16*y^2+18*y-63 = 0

16*y^2+18*y-63 = 0

16*y^2+18*y-63 = 0

DELTA = 18^2-(-63*4*16)

DELTA = 4356

DELTA > 0

y = (4356^(1/2)-18)/(2*16) or y = (-4356^(1/2)-18)/(2*16)

y = 3/2 or y = -21/8

(y+21/8)*(y-3/2) = 0

((y+21/8)*(y-3/2))/(4*9) = 0

((y+21/8)*(y-3/2))/(4*9) = 0 // * 4*9

(y+21/8)*(y-3/2) = 0

( y+21/8 )

y+21/8 = 0 // - 21/8

y = -21/8

( y-3/2 )

y-3/2 = 0 // + 3/2

y = 3/2

y in { -21/8, 3/2 }