What is the answer to (2x-3)/(4x+1)=0 ?

The answer to (2x-3)/(4x+1)=0 is x= 3/2

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(2x-3)/(4x+1)=0

\frac{2 x - 3}{4 x + 1} = 0

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

\frac{2 x - 3}{4 x + 1} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

2 x - 3 = 0

Move

3

to the right side

2 x = 3

Divide both sides by

2

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{4}

Combine undefined points with solutions:

x = \frac{3}{2}

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

\frac{z + 7}{z} - \frac{6}{5} = 0

4 = \frac{7}{3} - \frac{6}{y}

\frac{c}{x} = d r, x

y, x = \frac{3 y}{y + 1}