What is the answer to (10x)/(x+5)=-x+6 ?

The answer to (10x)/(x+5)=-x+6 is x=-(9+sqrt(201))/2 ,x=(sqrt(201)-9)/2

Solve for x: (10x)/(x+5)=-x+6

The solution is x=-(9+sqrt(201))/2 ,x=(sqrt(201)-9)/2

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\frac{10 x}{x + 5} = - x + 6

x = - \frac{9 + 201}{2}, x = \frac{201 - 9}{2}

Decimal Notation

x = - 11.58872 \dots, x = 2.58872 \dots

Solution steps

\frac{10 x}{x + 5} = - x + 6

Multiply both sides by

x + 5

10 x = - x (x + 5) + 6 (x + 5)

Solve

10 x = - x (x + 5) + 6 (x + 5) : x = - \frac{9 + 201}{2}, x = \frac{201 - 9}{2}

x = - \frac{9 + 201}{2}, x = \frac{201 - 9}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - \frac{9 + 201}{2}, x = \frac{201 - 9}{2}

\frac{120}{192} = \frac{5}{4 x}

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

\frac{2}{3 x + 1} = \frac{1}{x}

147 = \frac{180 ( n - 2 )}{n}

\frac{- 3}{x} = \frac{2}{8}

What is the answer to (10x)/(x+5)=-x+6 ?
The answer to (10x)/(x+5)=-x+6 is x=-(9+sqrt(201))/2 ,x=(sqrt(201)-9)/2
Solve for x: (10x)/(x+5)=-x+6
The solution is x=-(9+sqrt(201))/2 ,x=(sqrt(201)-9)/2