Question

Solve for x using common denominators f/6(x+4)=x/(x+4)

Answer 1

The variable x using common denominator is x = 2 / 3 or  - 4

How to find the variable x in an equation?

The variable x can be found as follows:

4 / 6(x + 4) = x / x + 4

cross multiply

4(x + 4) = 6x(x + 4)

Therefore,

4x + 16 = 6x² + 24x

Hence,

6x² + 24x - 4x - 16 = 0

6x² + 20x - 16 = 0

divide through by 2

3x² + 10x - 8 = 0

using quadratic formula,

-b ± √b² - 4ac / 2a

where

a = 3

b = 10

c = -8

Hence,

x = 2 / 3 or  - 4

learn more on variables here: brainly.com/question/21151896

#SPJ1