# Solve by Factoring (x-1/5)/x-1=4 Move to the left side of the equation by subtracting it from both sides.
Simplify .
Find the common denominator.
Write as a fraction with denominator .
Multiply by .
Multiply and .
Write as a fraction with denominator .
Multiply by .
Multiply and .
Combine the numerators over the common denominator.
Simplify the numerator.
Subtract from .
Subtract from .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Multiply by .
Multiply the numerator by the reciprocal of the denominator.
Multiply and .
Rewrite as .
Factor out of .
Factor out of .
Move the negative in front of the fraction.
Find the common denominator.
Write as a fraction with denominator .
Multiply by .
Multiply and .
Write as a fraction with denominator .
Multiply by .
Multiply and .
Combine the numerators over the common denominator.
Simplify the numerator.
Subtract from .
Subtract from .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Multiply by .
Multiply the numerator by the reciprocal of the denominator.
Multiply and .
Rewrite as .
Factor out of .
Factor out of .
Move the negative in front of the fraction.
Find the LCD of the terms in the equation.
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Since contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .
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.
Since has no factors besides and .
is a prime 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 LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.
The LCM for is the numeric part multiplied by the variable part.
Multiply each term by and simplify.
Multiply each term in by in order to remove all the denominators from the equation.
Simplify .
Cancel the common factor of .
Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
Multiply .
Multiply by .
Multiply by .
Solve the equation.
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
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