(Х² + 8х + 7) (х²+ 8х+15)=-15

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First, let's multiply out the two polynomials:

(х² + 8х + 7)(х² + 8х + 15) = х⁴ + 8х³ + 15х² + 8х³ + 64х² + 120х + 7х² + 56х + 105
= х⁴ + 16х³ + 86х² + 176х + 105

Now, we want to find the value of х that would make the expression equal to -15:

х⁴ + 16х³ + 86х² + 176х + 105 = -15

Rearranging the terms, we get:

х⁴ + 16х³ + 86х² + 176х + 120 = 0

Unfortunately, this is a quartic equation and solving it would involve more complex methods than simple algebra. However, we can find approximate solutions using numerical methods or a graphing calculator.