# How do you solve x^2 + 6x + 9 = 25?

Factor the ${x}^{2} + 6 x + 9$ and then take the square root of the entire equation. Then simply get x alone and you'll have your answers. $x = 2 \mathmr{and} - 8$
1: ${x}^{2} + 6 x + 9$ can be factored as $\left(x + 3\right) \cdot \left(x + 3\right)$ or ${\left(x + 3\right)}^{2}$
2: ${\left(x + 3\right)}^{2} = 25$ take square root of entire equation
3: $x + 3 = \pm 5$
4: $x = 5 - 3$ and $x = - 5 - 3$
Thus $x = 2$ and $- 8$