What is the answer to 2x=((-3.5))/(x-12) ?

The answer to 2x=((-3.5))/(x-12) is x=(12+sqrt(137))/2 ,x=(12-sqrt(137))/2

Solve for x: 2x=((-3.5))/(x-12)

The solution is x=(12+sqrt(137))/2 ,x=(12-sqrt(137))/2

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2 x = \frac{( - 3.5 )}{x - 12}

x = \frac{12 + 137}{2}, x = \frac{12 - 137}{2}

Decimal Notation

x = 11.85234 \dots, x = 0.14765 \dots

Solution steps

2 x = \frac{( - 3.5 )}{x - 12}

Simplify

\frac{- 3.5}{x - 12} : - \frac{3.5}{x - 12}

2 x = - \frac{3.5}{x - 12}

Multiply both sides by

x - 12

2 x (x - 12) = - 3.5

Solve

2 x (x - 12) = - 3.5 : x = \frac{12 + 137}{2}, x = \frac{12 - 137}{2}

x = \frac{12 + 137}{2}, x = \frac{12 - 137}{2}

Verify Solutions

Find undefined (singularity) points:

x = 12

Combine undefined points with solutions:

x = \frac{12 + 137}{2}, x = \frac{12 - 137}{2}

\frac{7}{x} = 28

\frac{7}{x} = 20

x + \frac{3}{x} = \frac{52}{7}

x - \frac{24}{x} = 5

\frac{x - 2}{2 x ^{2} - 7 x - 15} x = - 2

What is the answer to 2x=((-3.5))/(x-12) ?
The answer to 2x=((-3.5))/(x-12) is x=(12+sqrt(137))/2 ,x=(12-sqrt(137))/2
Solve for x: 2x=((-3.5))/(x-12)
The solution is x=(12+sqrt(137))/2 ,x=(12-sqrt(137))/2