What is the answer to (280)/(q+2)=20+2.5q ?

The answer to (280)/(q+2)=20+2.5q is q=6,q=-16

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(280)/(q+2)=20+2.5q

\frac{280}{q + 2} = 20 + 2.5 q

q = 6, q = - 16

Solution steps

\frac{280}{q + 2} = 20 + 2.5 q

Multiply both sides by

10

\frac{2800}{q + 2} = 200 + 25 q

Multiply both sides by

q + 2

2800 = 200 (q + 2) + 25 q (q + 2)

Solve

2800 = 200 (q + 2) + 25 q (q + 2) : q = 6, q = - 16

q = 6, q = - 16

Verify Solutions

Find undefined (singularity) points:

q = - 2

Combine undefined points with solutions:

q = 6, q = - 16

2 x - \frac{9}{x} = 3

\frac{( 0.8 - 0.3 x )}{x} = 0

\frac{3}{2} = \frac{- 7 x + 9}{3 x}

\frac{8}{10} = \frac{12}{x}

- \frac{1}{x ^{2}} = - \frac{1}{48}

What is the answer to (280)/(q+2)=20+2.5q ?
The answer to (280)/(q+2)=20+2.5q is q=6,q=-16
Solve for q: (280)/(q+2)=20+2.5q
The solution is q=6,q=-16