$\frac{x}{2x+7}=\frac{x-5}{x-1}$

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Final answer to the problem

$x=-5,\:x=7$
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Step-by-step Solution

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Apply the formula: $\frac{a}{b}=\frac{c}{f}$$\to af=bc$, where $a=x$, $b=2x+7$, $c=x-5$ and $f=x-1$

$x\left(x-1\right)=\left(2x+7\right)\left(x-5\right)$

Learn how to solve equazioni razionali problems step by step online.

$x\left(x-1\right)=\left(2x+7\right)\left(x-5\right)$

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Learn how to solve equazioni razionali problems step by step online. x/(2x+7)=(x-5)/(x-1). Apply the formula: \frac{a}{b}=\frac{c}{f}\to af=bc, where a=x, b=2x+7, c=x-5 and f=x-1. Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=-1 and a+b=x-1. Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=-5, x=2x+7 and a+b=x-5. Multiply the single term x by each term of the polynomial \left(2x+7\right).

Final answer to the problem

$x=-5,\:x=7$

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Function Plot

Plotting: $\frac{x}{2x+7}+\frac{-x+5}{x-1}$

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6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Main Topic: Equazioni razionali

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