What is the answer to -(42)/(q+9)= 4/(2q+6) ?

The answer to -(42)/(q+9)= 4/(2q+6) is q=-36/11

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-(42)/(q+9)= 4/(2q+6)

- \frac{42}{q + 9} = \frac{4}{2 q + 6}

q = - \frac{36}{11}

Decimal Notation

q = - 3.27272 \dots

Solution steps

- \frac{42}{q + 9} = \frac{4}{2 q + 6}

Cross multiply

- 42 q - 126 = 2 q + 18

Move

126

to the right side

- 42 q = 2 q + 144

Move

2 q

to the left side

- 44 q = 144

Divide both sides by

- 44

q = - \frac{36}{11}

Verify Solutions

Find undefined (singularity) points:

q = - 9, q = - 3

Combine undefined points with solutions:

q = - \frac{36}{11}

\frac{- 2 x + 3}{x + 4} = 0

\frac{x ^{2} - 2 x}{x ^{2} - 2 x + 1} = 0

\frac{x + 2}{x + 1} = 5

0 = 4 - \frac{1}{x ^{2}}

\frac{x + 2}{x + 1} = 0

What is the answer to -(42)/(q+9)= 4/(2q+6) ?
The answer to -(42)/(q+9)= 4/(2q+6) is q=-36/11
Solve for q: -(42)/(q+9)= 4/(2q+6)
The solution is q=-36/11