What is the answer to (x+8)/(2x^2-18)-2/(x-3)=1 ?

The answer to (x+8)/(2x^2-18)-2/(x-3)=1 is x=2,x=-7/2

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(x+8)/(2x^2-18)-2/(x-3)=1

\frac{x + 8}{2 x ^{2} - 18} - \frac{2}{x - 3} = 1

x = 2, x = - \frac{7}{2}

Decimal Notation

x = 2, x = - 3.5

Solution steps

\frac{x + 8}{2 x ^{2} - 18} - \frac{2}{x - 3} = 1

Multiply by LCM

x + 8 - 4 (x + 3) = 2 (x + 3) (x - 3)

Solve

x + 8 - 4 (x + 3) = 2 (x + 3) (x - 3) : x = 2, x = - \frac{7}{2}

x = 2, x = - \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 3

Combine undefined points with solutions:

x = 2, x = - \frac{7}{2}

- 3 - \frac{8}{x - 6} = - \frac{7}{x - 6}

x, \frac{d y}{d x} = - \frac{y}{x}

y, x^{3} = \frac{2 x - y}{x + 3 y}

\frac{x}{x + 1} = e^{2}

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

What is the answer to (x+8)/(2x^2-18)-2/(x-3)=1 ?
The answer to (x+8)/(2x^2-18)-2/(x-3)=1 is x=2,x=-7/2
Solve for x: (x+8)/(2x^2-18)-2/(x-3)=1
The solution is x=2,x=-7/2