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# Solve the rational equation $\frac{x+5}{x+1}=9$

## Step-by-step Solution

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###  Videos

$x=-\frac{1}{2}$
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##  Step-by-step Solution 

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Multiply both sides of the equation by $x+1$

$x+5=9\left(x+1\right)$

Learn how to solve rational equations problems step by step online.

$x+5=9\left(x+1\right)$

Learn how to solve rational equations problems step by step online. Solve the rational equation (x+5)/(x+1)=9. Multiply both sides of the equation by x+1. Solve the product 9\left(x+1\right). Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Subtract the values 9 and -5.

$x=-\frac{1}{2}$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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0
a
b
c
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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

### Main Topic: Rational Equations

Rational or fractional equations are those equations that contain algebraic fractions, and where the variable or unknown appears in the denominator of at least one of those fractions.