What is the answer to (-15)/(4x+1)=x-4 ?

The answer to (-15)/(4x+1)=x-4 is x= 11/4 ,x=1

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(-15)/(4x+1)=x-4

\frac{- 15}{4 x + 1} = x - 4

x = \frac{11}{4}, x = 1

Solution steps

\frac{- 15}{4 x + 1} = x - 4

Simplify

\frac{- 15}{4 x + 1} : - \frac{15}{4 x + 1}

- \frac{15}{4 x + 1} = x - 4

Multiply both sides by

4 x + 1

- 15 = x (4 x + 1) - 4 (4 x + 1)

Solve

- 15 = x (4 x + 1) - 4 (4 x + 1) : x = \frac{11}{4}, x = 1

x = \frac{11}{4}, x = 1

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{4}

Combine undefined points with solutions:

x = \frac{11}{4}, x = 1

\frac{( 4 x - 1 ) ( 2 x + 3 )}{18 x - 4} = 0

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

\frac{1}{1 + x ^{2}} = 0

\frac{2}{x} = \frac{10}{25}

\frac{1 0 ^{12}}{10 x} = 10

What is the answer to (-15)/(4x+1)=x-4 ?
The answer to (-15)/(4x+1)=x-4 is x= 11/4 ,x=1
Solve for x: (-15)/(4x+1)=x-4
The solution is x= 11/4 ,x=1