What is the solution to the equation? (-9x+5) ^1/2 = (3+4x) 1/2

x in (-oo:+oo)

((5-9*x) ^1) / 2 = ((4*x+3) ^1) / 2 / / - ((4*x+3) ^1) / 2

((5-9*x) ^1) / 2 - (((4*x+3) ^1) / 2) = 0

(5-9*x) / 2 - ((4*x+3) / 2) = 0

(5-9*x) / 2 + (-1 * (4*x+3)) / 2 = 0

5-1 * (4*x+3) - 9*x = 0

2-13*x = 0

(2-13*x) / 2 = 0

(2-13*x) / 2 = 0 / / * 2

2-13*x = 0

2-13*x = 0 / / - 2

-13*x = - 2 / / : - 13

x = - 2 / (-13)

x = 2/13

x = 2/13