Question

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

Solve:

$x^2+3x=4$x

Short answer

By solving $x^2+3x=4$, the value of $x$ is $x=-4,1$

Step-by-step solution

Step 1. Given

An equation $x^2+3x=4$

To solve the equation

Step 2. Separate the b term

$$\begin{gathered} x^2+3x=4 \\ {x}^2+3x-4=0 \\ {x}^2+4x-x+4=0 \\ (x+4)(x-1)=0 \end{gathered}$$

Step 3. Use Zero-Property

So, either $$\begin{gathered} x+4=0 \\ x=-4 \end{gathered}$$

Or $$\begin{gathered} x-1=0 \\ x=1 \end{gathered}$$

The value of $x=-4,1$