What is the answer to x/x =4x+30 ?

The answer to x/x =4x+30 is x=-29/4

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x/x =4x+30

\frac{x}{x} = 4 x + 30

x = - \frac{29}{4}

Decimal Notation

x = - 7.25

Solution steps

\frac{x}{x} = 4 x + 30

Simplify

\frac{x}{x} : 1

1 = 4 x + 30

Switch sides

4 x + 30 = 1

Move

30

to the right side

4 x = - 29

Divide both sides by

4

x = - \frac{29}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{29}{4}

\frac{( 2 - x )}{( x - 2 )} = 12

\frac{3 + ( x - 2 )}{( x - 4 )} = 2

3 x^{- 2} - 13 x^{- 1} + 12 = 0

12880 = \frac{10000}{x + 1}

1 = \frac{1}{166000 \cdot x}