Make $x$ the subject of
\[
w y=\frac{(x+t)^{2}}{10}
\]
So, the solutions are \(\boxed{x = \sqrt{10wy} - t}\) and \(\boxed{x = -\sqrt{10wy} - t}\)
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 \(\boxed{x = -\sqrt{10wy} - t}\)