Basic Math Examples

Solve for z 1/2+2/(z+1)=3/4
Step 1
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 1.1
Subtract from both sides of the equation.
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Step 1.3.1
Multiply by .
Step 1.3.2
Multiply by .
Step 1.4
Combine the numerators over the common denominator.
Step 1.5
Subtract from .
Step 2
Find the LCD of the terms in the equation.
Tap for more steps...
Step 2.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 2.2
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 2.3
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
Step 2.4
has factors of and .
Step 2.5
Multiply by .
Step 2.6
The factor for is itself.
occurs time.
Step 2.7
The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.
Step 2.8
The Least Common Multiple of some numbers is the smallest number that the numbers are factors of.
Step 3
Multiply each term in by to eliminate the fractions.
Tap for more steps...
Step 3.1
Multiply each term in by .
Step 3.2
Simplify the left side.
Tap for more steps...
Step 3.2.1
Rewrite using the commutative property of multiplication.
Step 3.2.2
Multiply .
Tap for more steps...
Step 3.2.2.1
Combine and .
Step 3.2.2.2
Multiply by .
Step 3.2.3
Cancel the common factor of .
Tap for more steps...
Step 3.2.3.1
Cancel the common factor.
Step 3.2.3.2
Rewrite the expression.
Step 3.3
Simplify the right side.
Tap for more steps...
Step 3.3.1
Cancel the common factor of .
Tap for more steps...
Step 3.3.1.1
Cancel the common factor.
Step 3.3.1.2
Rewrite the expression.
Step 4
Solve the equation.
Tap for more steps...
Step 4.1
Rewrite the equation as .
Step 4.2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 4.2.1
Subtract from both sides of the equation.
Step 4.2.2
Subtract from .