What is the answer to (30)/x+3=-9/2 ?

The answer to (30)/x+3=-9/2 is x=-4

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(30)/x+3=-9/2

\frac{30}{x} + 3 = - \frac{9}{2}

x = - 4

Solution steps

\frac{30}{x} + 3 = - \frac{9}{2}

Multiply by LCM

60 + 6 x = - 9 x

Move

60

to the right side

6 x = - 9 x - 60

Move

9 x

to the left side

15 x = - 60

Divide both sides by

15

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 4

- \frac{128000}{x ^{2}} + 2 x = 0

k - \frac{2}{k} - 1 = 0

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

\frac{3}{4 x - 9} = 27

\frac{100 - x ^{2}}{x} = 2 x