What is the answer to ((2x-1))/((3x-3))-5x=0 ?

The answer to ((2x-1))/((3x-3))-5x=0 is x=(17-sqrt(229))/(30),x=(17+sqrt(229))/(30)

Solve for x: ((2x-1))/((3x-3))-5x=0

The solution is x=(17-sqrt(229))/(30),x=(17+sqrt(229))/(30)

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\frac{( 2 x - 1 )}{( 3 x - 3 )} - 5 x = 0

x = \frac{17 - 229}{30}, x = \frac{17 + 229}{30}

Decimal Notation

x = 0.06224 \dots, x = 1.07109 \dots

Solution steps

\frac{( 2 x - 1 )}{( 3 x - 3 )} - 5 x = 0

Simplify

\frac{( 2 x - 1 )}{( 3 x - 3 )} : \frac{2 x - 1}{3 x - 3}

\frac{2 x - 1}{3 x - 3} - 5 x = 0

Multiply both sides by

3 x - 3

2 x - 1 - 5 x (3 x - 3) = 0

Solve

2 x - 1 - 5 x (3 x - 3) = 0 : x = \frac{17 - 229}{30}, x = \frac{17 + 229}{30}

x = \frac{17 - 229}{30}, x = \frac{17 + 229}{30}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{17 - 229}{30}, x = \frac{17 + 229}{30}

\frac{5}{10} = \frac{7}{x}

\frac{x}{x} = 4 x + 30

\frac{( 2 - x )}{( x - 2 )} = 12

\frac{3 + ( x - 2 )}{( x - 4 )} = 2

3 x^{- 2} - 13 x^{- 1} + 12 = 0

What is the answer to ((2x-1))/((3x-3))-5x=0 ?
The answer to ((2x-1))/((3x-3))-5x=0 is x=(17-sqrt(229))/(30),x=(17+sqrt(229))/(30)
Solve for x: ((2x-1))/((3x-3))-5x=0
The solution is x=(17-sqrt(229))/(30),x=(17+sqrt(229))/(30)