(√4x+1)+3=0 Where 4x+1 are both under the same sr sign?

Answer 1

(√4x+1)+3=0
(√4x+1)= -3
(this expression might look weird but it is right. Think this way √9=3 or -3)
getting back to the question
squaring both the sides,
4x+1=9
4x=8
so x=2

Answer 2

Take it one step at a time:

sqrt(4x + 1) = 3 { Add 3 to both sides }
4x + 1 = 9 { Square both sides }
4x = 8 { Subtract 1 from both sides }
x = 2 { Divide both sides by 4 }

Answer 3

Subtract both sides by 3:
√4x+1=-3

Square both sides:
(√4x+1)^2=(-3)^2
4x+1=9

Subtract 1 from both sides:
4x=8

Divide 4 from both sides:
x=2

Answer 4

sqrt(4x + 1) + 3 = 0
sqrt(4x + 1) = -3
4x + 1 = 9
4x = 8
x = 2

ANS : x = 2, just keep in mind that sqrt values have a positive and a negative side, so thats why you can get an answer of -3.