What is the answer to 30=-(19^2)/(4x-20) ?

The answer to 30=-(19^2)/(4x-20) is x= 239/120

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30=-(19^2)/(4x-20)

30 = - \frac{1 9 ^{2}}{4 x - 20}

x = \frac{239}{120}

Decimal Notation

x = 1.99166 \dots

Solution steps

30 = - \frac{1 9 ^{2}}{4 x - 20}

Simplify

- \frac{1 9 ^{2}}{4 x - 20} : - \frac{361}{4 x - 20}

30 = - \frac{361}{4 x - 20}

Multiply both sides by

4 x - 20

30 (4 x - 20) = - 361

Divide both sides by

30

4 x - 20 = - \frac{361}{30}

Move

20

to the right side

4 x = \frac{239}{30}

Divide both sides by

4

x = \frac{239}{120}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{239}{120}

x - 4 = \frac{2}{x}

\frac{2 x + x ^{2}}{( 1 + x ) ^{2}} = 0

\frac{9}{x - 8} = \frac{8}{3}

\frac{24}{x} = 9

\frac{2}{x} = 5 - x

What is the answer to 30=-(19^2)/(4x-20) ?
The answer to 30=-(19^2)/(4x-20) is x= 239/120
Solve for x: 30=-(19^2)/(4x-20)
The solution is x= 239/120