What is the answer to (6r^2-19r-7)/(2r-7)=4r-3 ?

The answer to (6r^2-19r-7)/(2r-7)=4r-3 is r=4

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(6r^2-19r-7)/(2r-7)=4r-3

\frac{6 r ^{2} - 19 r - 7}{2 r - 7} = 4 r - 3

r = 4

Solution steps

\frac{6 r ^{2} - 19 r - 7}{2 r - 7} = 4 r - 3

Simplify

\frac{6 r ^{2} - 19 r - 7}{2 r - 7} : 3 r + 1

3 r + 1 = 4 r - 3

Move

1

to the right side

3 r = 4 r - 4

Move

4 r

to the left side

- r = - 4

Divide both sides by

- 1

r = 4

Verify Solutions

Find undefined (singularity) points:

r = \frac{7}{2}

Combine undefined points with solutions:

r = 4

\frac{2}{x + 5} = \frac{5}{x + 4}

\frac{12 ( 2200 )}{2200 + x} = 1.96

\frac{3}{x} - 5 = 5 + \frac{5}{x}

\frac{16}{y + 7} = \frac{4}{3}

30 = \frac{6 ( x - 1 )}{5 + 2 x}

What is the answer to (6r^2-19r-7)/(2r-7)=4r-3 ?
The answer to (6r^2-19r-7)/(2r-7)=4r-3 is r=4
Solve for r: (6r^2-19r-7)/(2r-7)=4r-3
The solution is r=4