What is the answer to (x^2-4)/(x+2)=7x ?

The answer to (x^2-4)/(x+2)=7x is x=-1/3

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(x^2-4)/(x+2)=7x

\frac{x ^{2} - 4}{x + 2} = 7 x

x = - \frac{1}{3}

Solution steps

\frac{x ^{2} - 4}{x + 2} = 7 x

Simplify

\frac{x ^{2} - 4}{x + 2} : x - 2

x - 2 = 7 x

Move

2

to the right side

x = 7 x + 2

Move

7 x

to the left side

- 6 x = 2

Divide both sides by

- 6

x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{1}{3}

\frac{a x + b}{c x + d} = 4

t, a = \frac{f - s}{t}

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

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

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

What is the answer to (x^2-4)/(x+2)=7x ?
The answer to (x^2-4)/(x+2)=7x is x=-1/3
Solve for x: (x^2-4)/(x+2)=7x
The solution is x=-1/3