Glossary Checklist FAQ

Understanding how to solve basic algebraic equations is the foundation for solving radical equations. Review solving equations by solving the following equations.

1. \(3x + 8 = 5\)
   
   
   Solution

   \(\begin{align}
    3x + 8 &= 5 \\
    3x + 8 - 8 &= 5 - 8 \\
    3x &= -3 \\
    \frac{{3x}}{3} &= \frac{{ - 3}}{3} \\
    x &= -1 \\
    \end{align}\)
   
   
   
   
2. \(x^3 = -64\)
   
   
   Solution

   \(\begin{align}
    x^3 &= -64 \\
    \sqrt[3]{{x^3 }} &= \sqrt[3]{{ - 64}} \\
    x &= -4 \\
    \end{align}\)
   
   
   
   
3. \(x^2 + 6x = -9\)
   
   
   Solution

   \(\begin{align}
    x^2 + 6x &= -9 \\
    x^2 + 6x + 9 &= 0 \\
    \left( {x + 3} \right)^2 &= 0 \\
    x &= -3 \\
    \end{align}\)