What is the answer to solvefor x, 2/((x-5))=(20)/((x^2-25)) ?

The answer to solvefor x, 2/((x-5))=(20)/((x^2-25)) is No Solution

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Solve for x 2/(x-5)=20/(x^2-25)

solve for

x, \frac{2}{( x - 5 )} = \frac{20}{( x ^{2} - 25 )}

No Solution

Solution steps

\frac{2}{( x - 5 )} = \frac{20}{( x ^{2} - 25 )}

Cross multiply

2 (x^{2} - 25) = (x - 5) \cdot 20

Solve

2 (x^{2} - 25) = (x - 5) \cdot 20 : x = 5

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 5, x = - 5

Since the equation is undefined for:

5

No Solution

\frac{24}{25}

(- 2) - \frac{1}{2}

\frac{( 2.5 - 2 )}{( \frac{( 2 + 2.5 )}{2} )}

8 - 4 x^{2} + 10 x^{2} + 2 x

\frac{( 9 x ^{3} + 3 x ^{2} + 22 x )}{( 3 x ^{2} + 1 )}

What is the answer to solvefor x, 2/((x-5))=(20)/((x^2-25)) ?
The answer to solvefor x, 2/((x-5))=(20)/((x^2-25)) is No Solution