5/x^2-43/x=18?

What is the solution to this problem

Let's solve your equation step-by-step.

5

x

2

-

43

x

=

18

5

x

x

+

-

43

x

=

18

Multiply all terms by xx and cancel:

5

+

-

43

x

=

18

x

x

-

43

x

+

5

=

18

x

2

(Simplify both sides of the equation)

-

43

x

+

5

-

18

x

2

=

18

x

2

-

18

x

2

(Subtract 18x^2 from both sides)

-

18

x

2

-

43

x

+

5

=

0

(

-

9

x

+

1

)

(

2

x

+

5

)

=

0

(Factor left side of equation)

-

9

x

+

1

=

0

or

2

x

+

5

=

0

(Set factors equal to 0)

x

=

1

9

or

x

=

-

5

2

Check answers. (Plug them in to make sure they work.)

x

=

1

9

(Works in original equation)

x

=

-

5

2

(Works in original equation)

Answer:

x

=

1

9

or

x

=

-

5

2