Make x the subject of the formula: y=(x+5w/2)^0.5

First recognise that (x+5w/2)^0.5 is the same as the square root of (x+5w/2). Then square both sides of the equation to get: y^2=(x+5w/2).Multiply both sides by 2 to eliminate the fraction from the RHS: 2y^2=x+5w.We can then minus 5w from both sides to leave x alone on the RHS: 2y^2 - 5w = x.Thus, we have made x the subject of the equation: x = 2y^2 - 5w