Answer:
x = - [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Given
9x² + 30x + 25 = 0 ← left side is a perfect square
(3x + 5)² = 0, thus
3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - [tex]\frac{5}{3}[/tex]
solution is x = - [tex]\frac{5}{3}[/tex] with multiplicity 2