Question

(1/4)q+10=(2440/q+20)

Answer 1

The solution for
`\(q\)` is
`\(-(9760)/(39)\)`. If you prefer a decimal approximation:

`\[q \approx -250.26\]`

To solve the equation
`\((1)/(4)q + 10 = (2440)/(q) + 20\)` for
`\(q\)`, follow these steps:

1. Subtract 10 from both sides:

`\[(1)/(4)q = (2440)/(q) + 10\]`

2. Subtract
`\((2440)/(q)\)` from both sides:

`\[(1)/(4)q - (2440)/(q) = 10\]`

3. To combine the terms on the left side, find a common denominator, which is
`\(4q\)`:

`\[(1 \cdot q)/(4q) - (2440)/(q) = 10\]`

`\[(q)/(4q) - (2440)/(q) = 10\]`

4. Combine the fractions:

`\[(q - 4 \cdot 2440)/(4q) = 10\]`

5. Multiply both sides by
`\(4q\)` to clear the fraction:

`\[q - 4 \cdot 2440 = 40q\]`

6. Combine like terms:

`\[q - 9760 = 40q\]`

7. Subtract
`\(q\)` from both sides:

`\[-9760 = 39q\]`

8. Divide by 39:

`\[q = -(9760)/(39)\]`

So, the solution for
`\(q\)` is
`\(-(9760)/(39)\)`. If you prefer a decimal approximation:

`\[q \approx -250.26\]`

The probable question may be: "Find q in the equation: (1/4)q+10=(2440/q+20)"