SOLUTION: Solve 3x-1/4x+7 = 1

SOLUTION: Solve 3x-1/4x+7 = 1 - 6/x+7

Question 167713: Solve
3x-1/4x+7 = 1 - 6/x+7
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Multiply EVERY term on both sides by the LCD . Doing this will eliminate all of the fractions.

Multiply and simplify

FOIL

Distribute

Combine like terms.

Get all terms to the left side.

Combine like terms.

Factor a -1 from the left side

Divide both sides by -1

Now here are two ways to solve this:

--------------------------------------------

Method # 1: Factoring

Start with the given equation

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for x in each case

So our answers are

or

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Method # 2 Quadratic Formula

Start with the given equation.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or

Either way, you get the same answers.
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