What is the answer to (3x+4)/(x^2)= 2/x ?

The answer to (3x+4)/(x^2)= 2/x is x=-4

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(3x+4)/(x^2)= 2/x

\frac{3 x + 4}{x ^{2}} = \frac{2}{x}

x = - 4

Solution steps

\frac{3 x + 4}{x ^{2}} = \frac{2}{x}

Cross multiply

(3 x + 4) x = x^{2} \cdot 2

Solve

(3 x + 4) x = x^{2} \cdot 2 : x = 0, x = - 4

x = 0, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = - 4

\frac{x - 7}{x + 3} = \frac{10}{x + 3} - 3

7 - \frac{2}{x - 10} = x

- \frac{4 x}{x + 7} + 3 = \frac{6}{x + 7}

\frac{2}{x - 3} + \frac{1}{4} = 2

x - \frac{3 x + 1}{x + 9} = 3

What is the answer to (3x+4)/(x^2)= 2/x ?
The answer to (3x+4)/(x^2)= 2/x is x=-4
Solve for x: (3x+4)/(x^2)= 2/x
The solution is x=-4