Identify the values of a, b, and c, by comparing the given equation to the following.

Thus, the value of a, b, and c are as follows.

Substitute the values into the quadratic formula.
![\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-7\pm\sqrt[]{7^2-4(2)(5)}}{2(2)} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/y8q752o9kwb1dkmbjmz7ldbieualqbe8w1.png)
Simplify the exponential expression.
![x=\frac{-7\pm\sqrt[]{49^{}-4(2)(5)}}{2(2)}](https://img.qammunity.org/2023/formulas/mathematics/college/flsk0jwk9n65v5ng9twq6mrvo1b1tejfv5.png)
Multiply.
![x=\frac{-7\pm\sqrt[]{49^{}-40}}{4}](https://img.qammunity.org/2023/formulas/mathematics/college/bytk8f0x2td4anrtj5ksyd4aa3fxlnee6e.png)
Subtract.
![x=\frac{-7\pm\sqrt[]{9}}{4}](https://img.qammunity.org/2023/formulas/mathematics/college/pq72ds2d3p3h5rs5ytgnj39dzc8f0g2dvr.png)
Evaluate the radical expression.

Rewrite the equation in two separate equations.

Simplify the numerators.

Thus,
