What is the answer to ((0.8-0.3x))/x =0 ?

The answer to ((0.8-0.3x))/x =0 is x= 8/3

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((0.8-0.3x))/x =0

\frac{( 0.8 - 0.3 x )}{x} = 0

x = \frac{8}{3}

Decimal Notation

x = 2.66666 \dots

Solution steps

\frac{( 0.8 - 0.3 x )}{x} = 0

Simplify

\frac{( 0.8 - 0.3 x )}{x} : \frac{0.8 - 0.3 x}{x}

\frac{0.8 - 0.3 x}{x} = 0

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

0.8 - 0.3 x = 0

Multiply both sides by

10

8 - 3 x = 0

Move

8

to the right side

- 3 x = - 8

Divide both sides by

- 3

x = \frac{8}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{8}{3}

\frac{3}{2} = \frac{- 7 x + 9}{3 x}

\frac{8}{10} = \frac{12}{x}

- \frac{1}{x ^{2}} = - \frac{1}{48}

15000 = (\frac{1500}{( 1 + x ) ^{5}})

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

What is the answer to ((0.8-0.3x))/x =0 ?
The answer to ((0.8-0.3x))/x =0 is x= 8/3
Solve for x: ((0.8-0.3x))/x =0
The solution is x= 8/3