Find the value of variables and state the correct relationship-(6x^2+9x+3=0)(4y^2+6y+2=0)

Solve 6x^2 + 9x + 3 = 0: Divide by 3: 2x^2 + 3x + 1 = 0. Factor: (2x + 1)(x + 1) = 0, so x = -1/2 or x = -1. Solve 4y^2 + 6y + 2 = 0: Divide by 2: 2y^2 + 3y + 1 = 0. This is identical to the simplified x equation, so y = -1/2 or y = -1. Compare: x = -1/2 vs y = -1/2 gives x = y. x = -1 vs y = -1 gives x = y. x = -1/2 vs y = -1 gives x > y (-0.5 > -1). x = -1 vs y = -1/2 gives x < y (-1 < -0.5). Since both equality and inequality occur depending on which roots are compared, the relationship cannot be established.