2x+1/4=−3/4x ummmmm

Answer 1

2x + 1/4 = -(3/4)x

(2+3/4)x = -1/4

(11/4)x = -1/4

x = (-1/4)(4/11) = -1/11

x=-1/11

check the answer, plug -1/11 back into the original equation

2(-1/11) + 1/4 = -(3/4)(-1/11)

-2/11 + 1/4 = 3/44

-8/44 + 11/44 + 3/44

it works

UNLESS maybe you really meant the problem the way you wrote it:

2x + 1/4 = -3/4x is really 2x +1/4 = -3/(4x) and not (-3/4)x

then

multiply by 4x to get

8x^2 +x = -3

8x^2 +x +3 = 0

use the quadratic formula to get two imaginary solutions

x = -1/16 + or - (1/16)sqr(1-96)

x =-1/16 + or - (i/16)sqr95

x = (-1 + sqr95)/16