What is the answer to 1/(3x-4)+1/(5x+9)=6 ?

The answer to 1/(3x-4)+1/(5x+9)=6 is x=(-17+sqrt(20179))/(90),x=-(17+sqrt(20179))/(90)

Solve for x: 1/(3x-4)+1/(5x+9)=6

The solution is x=(-17+sqrt(20179))/(90),x=-(17+sqrt(20179))/(90)

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\frac{1}{3 x - 4} + \frac{1}{5 x + 9} = 6

x = \frac{- 17 + 20179}{90}, x = - \frac{17 + 20179}{90}

Decimal Notation

x = 1.38947 \dots, x = - 1.76725 \dots

Solution steps

\frac{1}{3 x - 4} + \frac{1}{5 x + 9} = 6

Multiply by LCM

8 x + 5 = 6 (3 x - 4) (5 x + 9)

Solve

8 x + 5 = 6 (3 x - 4) (5 x + 9) : x = \frac{- 17 + 20179}{90}, x = - \frac{17 + 20179}{90}

x = \frac{- 17 + 20179}{90}, x = - \frac{17 + 20179}{90}

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{3}, x = - \frac{9}{5}

Combine undefined points with solutions:

x = \frac{- 17 + 20179}{90}, x = - \frac{17 + 20179}{90}

\frac{4}{2 x + 1} - \frac{1}{3 x - 1} = 5

\frac{16}{9} = \frac{A ^{2} - 9}{A ^{2} - 16}

\frac{12}{7} = \frac{60}{x}

x, \frac{2}{5} = \frac{16}{x}

\frac{8}{x} = x + 2

What is the answer to 1/(3x-4)+1/(5x+9)=6 ?
The answer to 1/(3x-4)+1/(5x+9)=6 is x=(-17+sqrt(20179))/(90),x=-(17+sqrt(20179))/(90)
Solve for x: 1/(3x-4)+1/(5x+9)=6
The solution is x=(-17+sqrt(20179))/(90),x=-(17+sqrt(20179))/(90)