What is the answer to x((5x-3-2)/x)=0 ?

The answer to x((5x-3-2)/x)=0 is x=1

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x((5x-3-2)/x)=0

x (\frac{5 x - 3 - 2}{x}) = 0

x = 1

Solution steps

x (\frac{5 x - 3 - 2}{x}) = 0

Simplify

x (\frac{5 x - 3 - 2}{x}) : 5 x - 5

5 x - 5 = 0

Move

5

to the right side

5 x = 5

Divide both sides by

5

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1

\frac{8}{5} = \frac{2}{x}

\frac{x}{1 + x} = 1

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

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

c, p = \frac{x - c}{x + c}