Question

$$Y=(2X+5) { \left( \right) }^{ 2 }$$

Answer

$$X=Y/(^2*2)-5/2$$

Solution


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Divide both sides by \({()}^{2}\).
\[\frac{Y}{{}^{2}}=2X+5\]
Subtract \(5\) from both sides.
\[\frac{Y}{{}^{2}}-5=2X\]
Divide both sides by \(2\).
\[\frac{\frac{Y}{{}^{2}}-5}{2}=X\]
Simplify  \(\frac{\frac{Y}{{}^{2}}-5}{2}\)  to  \(\frac{\frac{Y}{{}^{2}}}{2}-\frac{5}{2}\).
\[\frac{\frac{Y}{{}^{2}}}{2}-\frac{5}{2}=X\]
Simplify  \(\frac{\frac{Y}{{}^{2}}}{2}\)  to  \(\frac{Y}{{}^{2}\times 2}\).
\[\frac{Y}{{}^{2}\times 2}-\frac{5}{2}=X\]
Switch sides.
\[X=\frac{Y}{{}^{2}\times 2}-\frac{5}{2}\]