54x^3+250y^3 is what?

y = - (3 x) / 5 or y = 3/5 (-1) ^ (1/3) x or y = - 3/5 (-1) ^ (2/3) x

Step-by-step explanation:

Solve for y:

54 x^3 + 250 y^3 = 0

Subtract 54 x^3 from both sides:

250 y^3 = - 54 x^3

Divide both sides by 250:

y^3 = - (27 x^3) / 125

Taking cube roots gives (3 (-x^3) ^ (1/3)) / 5 times the third roots of unity:

Answer: y = - (3 x) / 5 or y = 3/5 (-1) ^ (1/3) x or y = - 3/5 (-1) ^ (2/3) x