what is the value of x in 5=50-2x squared?

5=50-2x^2

-45 = -2x^2

22.5 = x^2

x = sqrt(22.5)= +-4.743

5 = 50 - 2x2        add 2x2 to both sides, subtract 5 from both sides

2x2  = 45          divide both sides by 2

x2 = 45/2            take pos/neg roots of both sides

x = ± √ (45/2)  =  ± √ [ (9 * 5) / 2 ]   =  ± 3√(5/2)  =  ± (3/2)√10