What is the answer to (a+14)/a =(9a)/(a+14) ?

The answer to (a+14)/a =(9a)/(a+14) is a=-7/2 ,a=7

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(a+14)/a =(9a)/(a+14)

\frac{a + 14}{a} = \frac{9 a}{a + 14}

a = - \frac{7}{2}, a = 7

Decimal Notation

a = - 3.5, a = 7

Solution steps

\frac{a + 14}{a} = \frac{9 a}{a + 14}

Cross multiply

(a + 14)^{2} = 9 a^{2}

Solve

(a + 14)^{2} = 9 a^{2} : a = - \frac{7}{2}, a = 7

a = - \frac{7}{2}, a = 7

Verify Solutions

Find undefined (singularity) points:

a = 0, a = - 14

Combine undefined points with solutions:

a = - \frac{7}{2}, a = 7

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

\frac{1}{x + 2} - 3 = \frac{10}{x + 2}

\frac{45}{5 + y} = 13

x, y = \frac{x + 3}{2 x - 8}

z + \frac{10}{z} - 6 = 0

What is the answer to (a+14)/a =(9a)/(a+14) ?
The answer to (a+14)/a =(9a)/(a+14) is a=-7/2 ,a=7
Solve for a: (a+14)/a =(9a)/(a+14)
The solution is a=-7/2 ,a=7