What is the answer to (2x-1)/x = x/(-3x+4) ?

The answer to (2x-1)/x = x/(-3x+4) is x= 4/7 ,x=1

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

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

x = \frac{4}{7}, x = 1

Decimal Notation

x = 0.57142 \dots, x = 1

Solution steps

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

Cross multiply

(2 x - 1) (- 3 x + 4) = x^{2}

Solve

(2 x - 1) (- 3 x + 4) = x^{2} : x = \frac{4}{7}, x = 1

x = \frac{4}{7}, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0, x = \frac{4}{3}

Combine undefined points with solutions:

x = \frac{4}{7}, x = 1

\frac{1}{( 1 + \frac{1}{X} )} = 1.33

n, \frac{m}{n} = p - 6

- 50 = \frac{50625}{2 x ^{2}}

3125 = b^{- 5}

\frac{3}{9} = \frac{4}{p}

What is the answer to (2x-1)/x = x/(-3x+4) ?
The answer to (2x-1)/x = x/(-3x+4) is x= 4/7 ,x=1
Solve for x: (2x-1)/x = x/(-3x+4)
The solution is x= 4/7 ,x=1