Explanation
[tex]2x^2-3=7[/tex]
Step 1
add 3 in both sides
[tex]\begin{gathered} 2x^2-3=7 \\ 2x^2-3+3=7+3 \\ 2x^2=10 \\ \end{gathered}[/tex]Step 2
divide both sides by 2
[tex]\begin{gathered} 2x^2=10 \\ \frac{2x^2}{2}=\frac{10}{2} \\ x^2=5 \\ \end{gathered}[/tex]Step 3
then take the square root of both sides and solve for the variable
[tex]\begin{gathered} x^2=5 \\ \sqrt[]{x^2}=\text{ }\pm\sqrt[]{5} \\ x=\pm\sqrt[]{5} \end{gathered}[/tex]