Solve for x over the real numbers:
2 x^3 + 5 x^2 = 0
Factor x^2 from the left hand side:
x^2 (2 x + 5) = 0
Split into two equations:
x^2 = 0 or 2 x + 5 = 0
Take the square root of both sides:
x = 0 or 2 x + 5 = 0
Subtract 5 from both sides:
x = 0 or 2 x = -5
Divide both sides by 2:
Answer: x = 0 or x = -5/2