Final answer to the problem
$x=2,\:x=5$
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Apply the formula: $\frac{a}{b}=\frac{c}{f}$$\to af=bc$, where $a=-2$, $b=x-1$, $c=x-8$ and $f=x+1$
$-2\left(x+1\right)=\left(x-1\right)\left(x-8\right)$
Learn how to solve equations rationnelles problems step by step online.
$-2\left(x+1\right)=\left(x-1\right)\left(x-8\right)$
Learn how to solve equations rationnelles problems step by step online. -2/(x-1)=(x-8)/(x+1). Apply the formula: \frac{a}{b}=\frac{c}{f}\to af=bc, where a=-2, b=x-1, c=x-8 and f=x+1. Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=1, x=-2 and a+b=x+1. Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=-8, x=x-1 and a+b=x-8. Multiply the single term x by each term of the polynomial \left(x-1\right).
Final answer to the problem
$x=2,\:x=5$
