The solutions of the equation are
and
![x=-8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pyvmnelf2bto4vs11py8leasmmmtzzo9xy.png)
Step-by-step explanation:
Given that the equation is
![x^(2) +10x+16=0](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6ga6zlkbmvxt4en9fqsrftfq7i43jmz29o.png)
We need to determine the solutions of the equation.
The solution can be determined by factoring the equation.
Thus, we have,
![x^(2) +10x+16=0](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6ga6zlkbmvxt4en9fqsrftfq7i43jmz29o.png)
![(x+2)(x+8)=0](https://img.qammunity.org/2021/formulas/mathematics/middle-school/d2gbedhi9kblp224jm7guxk7jntu4o52gd.png)
Simplifying, we get,
and
![x=-8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pyvmnelf2bto4vs11py8leasmmmtzzo9xy.png)
Thus, the solutions of the equation are
and
![x=-8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pyvmnelf2bto4vs11py8leasmmmtzzo9xy.png)
Now, we shall write the equation in standard form.
The equation in standard form is given by
![ax^(2) +bx+c=0](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5uuur2asggt1380xmlx0jelso9h922qq12.png)
Hence, the equation
is in standard form.