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

Step-by-step Solution

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Solution

Final answer to the problem

$x=-5,\:x=7$
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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
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1

Apply fraction cross-multiplication

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

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Unlock the first 3 steps of this solution

Learn how to solve problems step by step online. Solve the rational equation x/(2x+7)=(x-5)/(x-1). Apply fraction cross-multiplication. Multiplying polynomials x and x-1. Multiplying polynomials 2x+7 and 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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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

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Function Plot

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

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Answer Assistant

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1
2
3
4
5
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
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

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