LaShawn solved the equation below to the determine the solution. 3 x minus 8 = negative x + 4 (x minus 2)

How many solutions does LaShawn’s equation have?
zero
one
two
infinitely many

4. infinitely many

Step-by-step explanation

I took the test. Trust me :)

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

can you complete your sentence? i could !