[tex]4 + \sqrt{4x^2+3x} = 2x[/tex]
transpose 4 to the right
[tex] \sqrt{4x^2+3x} = 2x - 4[/tex]
square both sides of the equation
[tex]4x^2 + 3x = (2x-4)^2[/tex]
[tex]4x^2 + 3x = 4x^2 - 16x + 16[/tex]
[tex]4x^2 - 4x^2 + 3x + 16x = 16[/tex]
[tex]3x + 16x = 16[/tex]
[tex]19x = 16[/tex]
[tex]x = \frac{16}{19} [/tex]
