2x^2+5x=0

2x^2 + 5x = 0

Factor x:

x (2x + 5) = 0

Zero Product Property =>

x = 0 or 2x + 5 = 0

2x + 5 = 0 => x = -5/2

x = -5/2 or 0

2x² + 5x = 0

Factorx(2x+5) = 0Apply Zero Product Rule:x = 02x+5 = 0 → x = -5/2

Ans: x = 0, -5/2