What is the answer to ((4x))/((3*4*10^4-x))=4.45*10^{-7} ?

The answer to ((4x))/((3*4*10^4-x))=4.45*10^{-7} is x= 10680000/800000089

Solve for x: ((4x))/((3*4*10^4-x))=4.45*10^{-7}

The solution is x= 10680000/800000089

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\frac{( 4 x )}{( 3 \cdot 4 \cdot 1 0 ^{4} - x )} = 4.45 \cdot 1 0^{- 7}

x = \frac{10680000}{800000089}

Decimal Notation

x = 0.01334 \dots

Solution steps

\frac{( 4 x )}{( 3 \cdot 4 \cdot 1 0 ^{4} - x )} = 4.45 \cdot 1 0^{- 7}

Refine

\frac{4 x}{1 0 ^{4} \cdot 12 - x} = \frac{89}{20 \cdot 1 0 ^{7}}

Cross multiply

1 0^{7} \cdot 80 x = 1 0^{4} \cdot 1068 - 89 x

1 0^{4} \cdot 1068 = 10680000

1 0^{7} \cdot 80 x = 10680000 - 89 x

Move

89 x

to the left side

800000089 x = 10680000

Divide both sides by

800000089

x = \frac{10680000}{800000089}

Verify Solutions

Find undefined (singularity) points:

x = 120000

Combine undefined points with solutions:

x = \frac{10680000}{800000089}

\frac{n !}{( n + 1 ) !} = 12

\frac{5 x ^{2} + 1}{x} = 6

\frac{( x ^{2} + 5 x + 6 )}{( x + 3 )} = x + 7

\frac{( x + 1 ) ^{2}}{( ( x + 2 ) ^{2} )} = \frac{( x + 2 )}{( x + 4 )}

x^{- 3} = 8

What is the answer to ((4x))/((3*4*10^4-x))=4.45*10^{-7} ?
The answer to ((4x))/((3*4*10^4-x))=4.45*10^{-7} is x= 10680000/800000089
Solve for x: ((4x))/((3*4*10^4-x))=4.45*10^{-7}
The solution is x= 10680000/800000089