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Solve the rational equation $\frac{7x}{x+6}+3=\frac{5x-1}{x+2}+2$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=\frac{7+\sqrt{167}i}{6},\:x=\frac{7-\sqrt{167}i}{6}$
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Step-by-step Solution

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Learn how to solve quadratic formula problems step by step online. Solve the rational equation (7x)/(x+6)+3=(5x-1)/(x+2)+2. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 3 from both sides of the equation. Subtract the values 2 and -3. Combine all terms into a single fraction with x+2 as common denominator. Subtract the values -1 and -2.

Final answer to the problem

$x=\frac{7+\sqrt{167}i}{6},\:x=\frac{7-\sqrt{167}i}{6}$

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Function Plot

Plotting: $\frac{7x}{x+6}+3+\frac{-5x+1}{x+2}-2$

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x
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(◻)
+
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×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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

How to improve your answer:

Similar Problems Solved

$\frac { 5 } { x + 6 } = \frac { 5 } { x } + \frac { 5 } { 6 }$

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

$\frac{4}{x+2}=\frac{6}{x-2}$

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

$\frac{2x+4}{5x}=\frac{2}{x}$

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

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

Main Topic: Quadratic Formula

In elementary algebra, the quadratic formula is the solution of the quadratic equation. There are other ways to solve the quadratic equation instead of using the quadratic formula, such as factoring, completing the square, or graphing. Using the quadratic formula is often the most convenient way.

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