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Algebra Baldor
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Solve the rational equation $\frac{x^2-4x}{x-2}=\frac{14-9x}{x-2}$

Step-by-step Solution

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Solution

Final answer to the problem

$x=-7$
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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
  • Load more...
Can't find a method? Tell us so we can add it.
1

Factor the polynomial $x^2-4x$ by it's greatest common factor (GCF): $x$

Learn how to solve problems step by step online.

$\frac{x\left(x-4\right)}{x-2}=\frac{14-9x}{x-2}$

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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^2-4x)/(x-2)=(14-9x)/(x-2). Factor the polynomial x^2-4x by it's greatest common factor (GCF): x. Multiply the whole equation by x-2. Rearrange the equation. Multiplying polynomials x and x-4.

Final answer to the problem

$x=-7$

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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: $\frac{x^2-4x}{x-2}+\frac{-14+9x}{x-2}$

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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

How to improve your answer:

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