What is the answer to -(4x+8)/(x^2-9)=(5x+1)/(x+3) ?

The answer to -(4x+8)/(x^2-9)=(5x+1)/(x+3) is x=1

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-(4x+8)/(x^2-9)=(5x+1)/(x+3)

- \frac{4 x + 8}{x ^{2} - 9} = \frac{5 x + 1}{x + 3}

x = 1

Solution steps

- \frac{4 x + 8}{x ^{2} - 9} = \frac{5 x + 1}{x + 3}

Cross multiply

- (4 x + 8) (x + 3) = (x^{2} - 9) (5 x + 1)

Solve

- (4 x + 8) (x + 3) = (x^{2} - 9) (5 x + 1) : x = 1, x = - 3

x = 1, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 3

Since the equation is undefined for:

- 3

x = 1

1 + \frac{1}{x} = \frac{6}{x ^{2}}

\frac{6}{z} = \frac{3}{5}

\frac{3}{x - 3} - \frac{6}{x ^{2}} = 0

\frac{4 x}{3 x - 12} + 3 = 10

\frac{x}{x + 6} = \frac{72}{x ^{2} - 36} + 4

What is the answer to -(4x+8)/(x^2-9)=(5x+1)/(x+3) ?
The answer to -(4x+8)/(x^2-9)=(5x+1)/(x+3) is x=1
Solve for x: -(4x+8)/(x^2-9)=(5x+1)/(x+3)
The solution is x=1