# Solve for m (2m)/(m-1)+(m-5)/(m^2-1)=1

Factor each term.

Click for detailed explanation...

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Find the LCD of the terms in the equation.

Click for detailed explanation...

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

The number is not a prime number because it only has one positive factor, which is itself.

Not prime

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.

The factor for is itself.

occurs time.

The factor for is itself.

occurs time.

The factor for is itself.

occurs time.

The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.

Multiply each term in by to eliminate the fractions.

Click for detailed explanation...

Multiply each term in by .

Simplify the left side.

Click for detailed explanation...

Simplify each term.

Click for detailed explanation...

Cancel the common factor of .

Click for detailed explanation...

Cancel the common factor.

Rewrite the expression.

Apply the distributive property.

Multiply by by adding the exponents.

Click for detailed explanation...

Move .

Multiply by .

Multiply by .

Cancel the common factor of .

Click for detailed explanation...

Factor out of .

Cancel the common factor.

Rewrite the expression.

Add and .

Simplify the right side.

Click for detailed explanation...

Multiply by .

Expand using the FOIL Method.

Click for detailed explanation...

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify terms.

Click for detailed explanation...

Combine the opposite terms in .

Click for detailed explanation...

Reorder the factors in the terms and .

Subtract from .

Add and .

Simplify each term.

Click for detailed explanation...

Multiply by .

Multiply by .

Solve the equation.

Click for detailed explanation...

Move all terms containing to the left side of the equation.

Click for detailed explanation...

Subtract from both sides of the equation.

Subtract from .

Add to both sides of the equation.

Add and .

Factor using the AC method.

Click for detailed explanation...

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .

Set equal to and solve for .

Click for detailed explanation...

Set equal to .

Add to both sides of the equation.

Set equal to and solve for .

Click for detailed explanation...

Set equal to .

Subtract from both sides of the equation.

The final solution is all the values that make true.

Exclude the solutions that do not make true.

- Find the Prime Factorization -8
- Find the Domain and Range -2x^2+4x-4
- Find the Axis of Symmetry y-3=(x-2)^2
- Find the GCF 9x^2-21x
- Evaluate 0.90/0.03
- Simplify (w^(-1/2))/(w^(2/3))
- Graph natural log of x^2+y^2
- Find the Derivative Using Chain Rule - d/dx y=(u+1)/u , u=2x^3
- Round to the Nearest Hundredth 117
- Graph y=-5+2cos((pit)/13)