Trigonometry Examples

Solve for x (4x)/(x-3)=2+12/(x-3)
Step 1
Find the LCD of the terms in the equation.
Tap for more steps...
Step 1.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 1.2
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.
Step 1.3
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
Step 1.4
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
Step 1.5
The factor for is itself.
occurs time.
Step 1.6
The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.
Step 2
Multiply each term in by to eliminate the fractions.
Tap for more steps...
Step 2.1
Multiply each term in by .
Step 2.2
Simplify the left side.
Tap for more steps...
Step 2.2.1
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Rewrite the expression.
Step 2.3
Simplify the right side.
Tap for more steps...
Step 2.3.1
Simplify each term.
Tap for more steps...
Step 2.3.1.1
Apply the distributive property.
Step 2.3.1.2
Multiply by .
Step 2.3.1.3
Cancel the common factor of .
Tap for more steps...
Step 2.3.1.3.1
Cancel the common factor.
Step 2.3.1.3.2
Rewrite the expression.
Step 2.3.2
Add and .
Step 3
Solve the equation.
Tap for more steps...
Step 3.1
Move all terms containing to the left side of the equation.
Tap for more steps...
Step 3.1.1
Subtract from both sides of the equation.
Step 3.1.2
Subtract from .
Step 3.2
Divide each term in by and simplify.
Tap for more steps...
Step 3.2.1
Divide each term in by .
Step 3.2.2
Simplify the left side.
Tap for more steps...
Step 3.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 3.2.2.1.1
Cancel the common factor.
Step 3.2.2.1.2
Divide by .
Step 3.2.3
Simplify the right side.
Tap for more steps...
Step 3.2.3.1
Divide by .
Step 4
Exclude the solutions that do not make true.