Identify each equation without completing the square.
$y^2+8x+6y+25=0$

Verified step by step guidance

1. Start by recognizing the general form of a conic section equation. The given equation is $y^2+8x+6y+25=0$. This resembles the general form of a parabola, $A{x}^2+Bxy+C{y}^2+Dx+Ey+F=0$, where either $A=0$ or $C=0$.
2. In the given equation, notice that there is no $x^2$ term, which means $A=0$. This suggests that the equation could represent a parabola that opens horizontally.
3. Next, identify the coefficients: $A=0$, $B=0$, $C=1$, $D=8$, $E=6$, and $F=25$. Since $C\ne 0$ and $A=0$, this confirms that the equation is a parabola.
4. To further analyze the equation, rearrange it to isolate the $y$ terms: $y^2+6y=-8x-25$. This form helps in identifying the vertex and direction of the parabola.
5. Finally, recognize that the equation is in a form that can be transformed into the standard form of a parabola by completing the square on the $y$ terms, but since the task is to identify without completing the square, we conclude that the equation represents a horizontally oriented parabola.