What is the answer to solvefor m,a=(qm)/(q+m) ?

The answer to solvefor m,a=(qm)/(q+m) is m=-(aq)/(a-q);\quad a-q\ne 0

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solvefor m,a=(qm)/(q+m)

solve for

m, a = \frac{q m}{q + m}

m = - \frac{a q}{a - q}; a - q \neq = 0

Solution steps

a = \frac{q m}{q + m}

Multiply both sides by

q + m

a (q + m) = m q

Expand

a (q + m) : a q + ma

a q + ma = m q

Move

a q

to the right side

ma = m q - a q

Move

m q

to the left side

ma - m q = - a q

Factor

ma - m q : m (a - q)

m (a - q) = - a q

Divide both sides by

a - q; a - q \neq = 0

m = - \frac{a q}{a - q}; a - q \neq = 0

x, 0.4 = \frac{0.2}{x}

x^{- 2} - 2 x^{- 1} - 1 = 0

0 = \frac{9 - x ^{2}}{x ^{2} + 3 x}

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

x, \frac{x - 2}{x + 10} = 7

What is the answer to solvefor m,a=(qm)/(q+m) ?
The answer to solvefor m,a=(qm)/(q+m) is m=-(aq)/(a-q);\quad a-q\ne 0