What is the answer to ((2x-2))/((x^2-2x))=2.4 ?

The answer to ((2x-2))/((x^2-2x))=2.4 is x= 5/2 ,x= 1/3

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((2x-2))/((x^2-2x))=2.4

\frac{( 2 x - 2 )}{( x ^{2} - 2 x )} = 2.4

x = \frac{5}{2}, x = \frac{1}{3}

Decimal Notation

x = 2.5, x = 0.33333 \dots

Solution steps

\frac{( 2 x - 2 )}{( x ^{2} - 2 x )} = 2.4

Simplify

\frac{( 2 x - 2 )}{( x ^{2} - 2 x )} : \frac{2 x - 2}{x ^{2} - 2 x}

\frac{2 x - 2}{x ^{2} - 2 x} = 2.4

Multiply both sides by

x^{2} - 2 x

2 x - 2 = 2.4 (x^{2} - 2 x)

Solve

2 x - 2 = 2.4 (x^{2} - 2 x) : x = \frac{5}{2}, x = \frac{1}{3}

x = \frac{5}{2}, x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 2

Combine undefined points with solutions:

x = \frac{5}{2}, x = \frac{1}{3}

\frac{( x ^{2} + 4 x )}{3 + ( \frac{84}{x ^{2}} + 4 x )} = 11

\frac{x}{( x + 10 )} = 0.94

\frac{1}{3 x ^{2} ( x - 3 ) + x ^{2}} = - 9

\frac{d}{( x + 10 )} - \frac{d}{( x - 10 )} = 4

\frac{u + 1}{u} = 2

What is the answer to ((2x-2))/((x^2-2x))=2.4 ?
The answer to ((2x-2))/((x^2-2x))=2.4 is x= 5/2 ,x= 1/3
Solve for x: ((2x-2))/((x^2-2x))=2.4
The solution is x= 5/2 ,x= 1/3