What is the answer to (45x+15)/(5+x)=5x-5 ?

The answer to (45x+15)/(5+x)=5x-5 is x=(5+sqrt(57))/2 ,x=(5-sqrt(57))/2

Solve for x: (45x+15)/(5+x)=5x-5

The solution is x=(5+sqrt(57))/2 ,x=(5-sqrt(57))/2

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\frac{45 x + 15}{5 + x} = 5 x - 5

x = \frac{5 + 57}{2}, x = \frac{5 - 57}{2}

Solution steps

\frac{45 x + 15}{5 + x} = 5 x - 5

Multiply both sides by

5 + x

45 x + 15 = 5 x (5 + x) - 5 (5 + x)

Solve

45 x + 15 = 5 x (5 + x) - 5 (5 + x) : x = \frac{5 + 57}{2}, x = \frac{5 - 57}{2}

x = \frac{5 + 57}{2}, x = \frac{5 - 57}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = \frac{5 + 57}{2}, x = \frac{5 - 57}{2}

F, \frac{d}{F} = j

\frac{4}{x} = \frac{x}{16}

\frac{5}{z - 4} - \frac{2}{z + 4} = 0

\frac{x + 1}{8} = \frac{6}{x - 1}

\frac{x ^{2} - x}{x - 1} = x

What is the answer to (45x+15)/(5+x)=5x-5 ?
The answer to (45x+15)/(5+x)=5x-5 is x=(5+sqrt(57))/2 ,x=(5-sqrt(57))/2
Solve for x: (45x+15)/(5+x)=5x-5
The solution is x=(5+sqrt(57))/2 ,x=(5-sqrt(57))/2