Solve.
3/x+4/x+2=2
Multiply equation by x.
3 + 4 + 2x = 2x
Equation has no solution.
3/(x+4/(x+2))=2
3=2(x+4/(x+2))
3=2x+8/(x+2)
3(x+2)=2x(x+2)+8
3x+6=2x^2+4x+8
2x^2+x+2=0
no real solutions
To solve the equation 3/x + 4/x + 2 = 2, we need to isolate the variable x on one side of the equation.
First, let's combine the like terms on the left side of the equation. Since we have two fractions with the same denominator (x), we can combine the numerators:
(3 + 4)/x + 2 = 2
Now, simplifying the numerator:
7/x + 2 = 2
To eliminate the fraction, we can multiply both sides of the equation by x:
7 + 2x = 2x
Next, let's move the variables to one side and the constants to the other side:
2x - 2x = -7
The variable terms cancel out:
0 = -7
Since 0 is not equal to -7, there is no solution to this equation.