Type a math problem or upload a photo, screenshot, handwritten question...
error msg
- Algebra
- Calculus
- Trigonometry
- Matrix
- Differential
- Integral
- Trigonometry
- Letters
Question
\left|4x+2\right|-6=8
Solve the equation
x_{1}=-4,x_{2}=3
Evaluate
\left|4x+2\right|-6=8
Move the constant to the right-hand side and change its sign
\left|4x+2\right|=8+6
Add the numbers
\left|4x+2\right|=14
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&4x+2=14\\&4x+2=-14\end{align}
\text{Solve the equation for }x
More Steps
Evaluate
4x+2=14
Move the constant to the right-hand side and change its sign
4x=14-2
Subtract the numbers
4x=12
Divide both sides
\frac{4x}{4}=\frac{12}{4}
Divide the numbers
x=\frac{12}{4}
Divide the numbers
More Steps
Evaluate
\frac{12}{4}
Reduce the numbers
\frac{3}{1}
Calculate
3
x=3
\begin{align}&x=3\\&4x+2=-14\end{align}
\text{Solve the equation for }x
More Steps
Evaluate
4x+2=-14
Move the constant to the right-hand side and change its sign
4x=-14-2
Subtract the numbers
4x=-16
Divide both sides
\frac{4x}{4}=\frac{-16}{4}
Divide the numbers
x=\frac{-16}{4}
Divide the numbers
More Steps
Evaluate
\frac{-16}{4}
Reduce the numbers
\frac{-4}{1}
Calculate
-4
x=-4
\begin{align}&x=3\\&x=-4\end{align}
Solution
x_{1}=-4,x_{2}=3
Show Solutions
Graph
