To solve the equation, we first need to combine the two fractions on the left side:
8/x + 15/x^2 = -1
We need to find a common denominator for the fractions, which in this case is x^2. We then rewrite the fractions:
(8x/x^2) + (15/x^2) = -1
Simplify the fractions:
8x/x^2 + 15/x^2 = -1
8x + 15 = -x^2
Rearrange the equation to make it equal to 0:
x^2 + 8x + 15 = 0
Now we need to factor the quadratic equation:
(x + 5)(x + 3) = 0
Set each factor to zero:
x + 5 = 0 or x + 3 = 0
Solve for x:
x = -5 or x = -3
Therefore, the solutions to the equation are x = -5 or x = -3.
Solve.
start fraction 8 over x end fraction plus start fraction 15 over x squared end fraction equals negative 1
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