What is the answer to 1-x-(36)/(108x+18)=0 ?

The answer to 1-x-(36)/(108x+18)=0 is x= 1/3 ,x= 1/2

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1-x-(36)/(108x+18)=0

1 - x - \frac{36}{108 x + 18} = 0

x = \frac{1}{3}, x = \frac{1}{2}

Decimal Notation

x = 0.33333 \dots, x = 0.5

Solution steps

1 - x - \frac{36}{108 x + 18} = 0

Simplify

- \frac{36}{108 x + 18} : - \frac{2}{6 x + 1}

1 - x - \frac{2}{6 x + 1} = 0

Multiply both sides by

6 x + 1

6 x + 1 - x (6 x + 1) - 2 = 0

Solve

6 x + 1 - x (6 x + 1) - 2 = 0 : x = \frac{1}{3}, x = \frac{1}{2}

x = \frac{1}{3}, x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{6}

Combine undefined points with solutions:

x = \frac{1}{3}, x = \frac{1}{2}

\frac{x}{x - 1} = \frac{x + 2}{x}

\frac{3}{x - 1} = \frac{2}{x - 2}

\frac{13}{x - 1} = \frac{15}{x + 2}

\frac{3}{x + 4} = \frac{2}{7}

x^{- 2} = 81

What is the answer to 1-x-(36)/(108x+18)=0 ?
The answer to 1-x-(36)/(108x+18)=0 is x= 1/3 ,x= 1/2
Solve for x: 1-x-(36)/(108x+18)=0
The solution is x= 1/3 ,x= 1/2