# How do you solve the equation 25+x^2+10x=0 by graphing?

Jul 3, 2017

$x = - 5$

#### Explanation:

Graph the function $y = 25 + {x}^{2} + 10 x$:

graph{x^2+10x+25 [-12.79, 7.21, -2.88, 7.12]}

The solution(s) to $x$ is when $y = 0$. That is, when the graph touches or crosses the x-axis.

In this case, the graph only touches the $x$ axis at $x = - 5$, and is always positive otherwise. So, we have one solution:

$x = - 5$