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Answer:

Step-by-step explanation:

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Answer:

Hello,

x = -5 or x = -3

Step-by-step explanation:

x²+8x+15 = (x+4)² - 4² + 15 = (x+4)² - 1 = (x+4)² - 1² = (x+4+1) (x+4 -1)

= (x+5) (x+3)

x²+8x+15 = 0 ⇔ (x+5) (x+3) = 0

x+5 = 0 for x = -5

or x+3 = 0 for x = -3