What is the answer to 4/(a-7)=(-2a)/(a+3) ?

The answer to 4/(a-7)=(-2a)/(a+3) is a=2,a=3

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4/(a-7)=(-2a)/(a+3)

\frac{4}{a - 7} = \frac{- 2 a}{a + 3}

a = 2, a = 3

Solution steps

\frac{4}{a - 7} = \frac{- 2 a}{a + 3}

Cross multiply

4 (a + 3) = - (a - 7) \cdot 2 a

Solve

4 (a + 3) = - (a - 7) \cdot 2 a : a = 2, a = 3

a = 2, a = 3

Verify Solutions

Find undefined (singularity) points:

a = 7, a = - 3

Combine undefined points with solutions:

a = 2, a = 3

\frac{1}{x + 9} + \frac{18}{x ^{2} - 81} = 1

\frac{8 x ^{8} x ^{8} x ^{8} x ^{8}}{8 x ^{8}} = 8 x

1 + \frac{x}{x - 9} = \frac{1}{x - 9}

\frac{4 x ^{3}}{x ^{4} + 27} = 0

- \frac{3}{5 y + 10} + 2 = \frac{5}{y + 2}

What is the answer to 4/(a-7)=(-2a)/(a+3) ?
The answer to 4/(a-7)=(-2a)/(a+3) is a=2,a=3
Solve for a: 4/(a-7)=(-2a)/(a+3)
The solution is a=2,a=3