Question

$$E=(2x-3) { \left( \right) }^{ 2 }$$

Answer

$$x=E/(^2*2)+3/2$$

Solution


Did you want to graph this instead?
Divide both sides by \({()}^{2}\).
\[\frac{E}{{}^{2}}=2x-3\]
Add \(3\) to both sides.
\[\frac{E}{{}^{2}}+3=2x\]
Divide both sides by \(2\).
\[\frac{\frac{E}{{}^{2}}+3}{2}=x\]
Simplify  \(\frac{\frac{E}{{}^{2}}+3}{2}\)  to  \(\frac{\frac{E}{{}^{2}}}{2}+\frac{3}{2}\).
\[\frac{\frac{E}{{}^{2}}}{2}+\frac{3}{2}=x\]
Simplify  \(\frac{\frac{E}{{}^{2}}}{2}\)  to  \(\frac{E}{{}^{2}\times 2}\).
\[\frac{E}{{}^{2}\times 2}+\frac{3}{2}=x\]
Switch sides.
\[x=\frac{E}{{}^{2}\times 2}+\frac{3}{2}\]