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# Solve the rational equation $\frac{2x+6}{3x}=x-8$

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##  Final answer to the problem

$x=\frac{13}{3}+\frac{\sqrt{187}}{3},\:x=\frac{13}{3}+\frac{-\sqrt{187}}{3}$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve for x
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
Can't find a method? Tell us so we can add it.
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Factor the polynomial $2x+6$ by it's greatest common factor (GCF): $2$

$\frac{2\left(x+3\right)}{3x}=x-8$

Learn how to solve integral calculus problems step by step online.

$\frac{2\left(x+3\right)}{3x}=x-8$

Learn how to solve integral calculus problems step by step online. Solve the rational equation (2x+6)/(3x)=x-8. Factor the polynomial 2x+6 by it's greatest common factor (GCF): 2. Multiply both sides of the equation by 3x. Solve the product 2\left(x+3\right). We need to isolate the dependent variable x, we can do that by simultaneously subtracting 6 from both sides of the equation.

##  Final answer to the problem

$x=\frac{13}{3}+\frac{\sqrt{187}}{3},\:x=\frac{13}{3}+\frac{-\sqrt{187}}{3}$

##  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

SnapXam A2

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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

###  Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.