SOLUTION: 6 / x^2 -1 + 3 / x + 1 x + 2 / x^2 + 11x + 18 + 5 / x^2 - 3x -10 1 / x -5 - 2 / x + 5 ----------- ----------- ----------- ---- x

Question 189553: 6 / x^2 -1 + 3 / x + 1

x + 2 / x^2 + 11x + 18 + 5 / x^2 - 3x -10

1 / x -5 - 2 / x + 5

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x/2 + 8/3 = 1/6

6/x +3 = x + 8

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1

Start with the given expression.

Multiply both the numerator and denominator of the second fraction by

Distribute

Combine the fractions

Combine like terms.

Factor

Cancel out the common terms.

Simplify

So where or

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# 2

Start with the given expression.

Factor the first denominator

Factor the second denominator

Multiply both the numerator and denominator of the second fraction by

FOIL

Multiply both the numerator and denominator of the second fraction by

FOIL

Combine the fractions.

Combine like terms.

FOIL

Expand

So where , , or

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# 3

Start with the given expression.

Multiply both the numerator and denominator of the first fraction by

Distribute

Multiply both the numerator and denominator of the second fraction by

Distribute

Subtract the fractions

Distribute

Combine like terms.

FOIL

So where or

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# 4

Start with the given equation.

Multiply both sides by the LCD to clear any fractions.

Simplify

Multiply.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

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Answer:

So the answer is

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# 5

I'm assuming that the equation is ???

Start with the given equation.

Multiply EVERY term by the LCD "x"

Multiply and simplify

Subtract 3x from both sides. Subtract 6 from both sides.

Combine like terms.

Factor

or Set each factor equal to zero

or Solve for "x" in each case

So the solutions are or

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OR...

Is the equation ????

Start with the given equation.

Multiply both sides by .

FOIL

Subtract 6 from both sides.

Combine like terms.

Factor

or Set each factor equal to zero

or Solve for "x" in each case

So the solutions are or
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