Question

Solve the equation for all real solutions.
9x^2+30x+25= 0

Answer 1

x = -
`(5)/(3)`

Explanation:

Given

9x² + 30x + 25 = 0 ← left side is a perfect square

(3x + 5)² = 0, thus

3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = -
`(5)/(3)`

solution is x = -
`(5)/(3)` with multiplicity 2