Question

In the following exercises, solve.

$4n^2+19n=5$

Short answer

$$\begin{gathered} n=\frac{1}{4}, \\ n=-5 \end{gathered}$$

Step-by-step solution

Step 1. Given Information

given expression

$4n^2+19n=5$

Step 2. Calculation

given expression

$$\begin{gathered} 4n^2+19n=5 \\ 4n^2+20n-n-5=0 \\ 4n\left(n+5\right)-1\left(n+5\right)=0 \\ 4n-1=0, \\ n+5=0 \\ n=\frac{1}{4},-5 \end{gathered}$$