Make $x$ the subject of \[ w y=\frac{(x+t)^{2}}{10} \]

Step 1 ：Start with the given equation: \(w y=\frac{(x+t)^{2}}{10}\)

Step 2 ：Multiply both sides by 10 to get rid of the denominator on the right side: \(10wy = (x+t)^2\)

Step 3 ：Take the square root of both sides to get rid of the square on the right side. Remember to consider both the positive and negative roots: \(\sqrt{10wy} = x + t\) and \(-\sqrt{10wy} = x + t\)

Step 4 ：Finally, subtract \(t\) from both sides to isolate \(x\): \(x = \sqrt{10wy} - t\) and \(x = -\sqrt{10wy} - t\)

Step 5 ：So, the solutions are \(\boxed{x = \sqrt{10wy} - t}\) and \(\boxed{x = -\sqrt{10wy} - t}\)