Question 947535
start with ux^2+t = 5t-2x^2


subtract t from both sides of the equation to get ux^2 = 5t-2x^2-t


combine like terms to get ux^2 = 4t-2x^2


add 2x^2 to both sides of the equation to get ux^2+2x^2 = 4t


factor our x^2 from ux^2+2x^2 to get x^2*(u+2) = 4t


divide both sides of the equation by (u+2) to get x^2 = 4t/(u+2)


take the square root of both sides of the equation to get x = +/- sqrt(4t/(u+2))


that should be your solution.


you have solved for x in terms of the other variables in the equation.