Linear Algebra Examples

Find the Domain 1/3x-1/4x+1/12x=3
Step 1
Simplify .
Tap for more steps...
Step 1.1
Simplify each term.
Tap for more steps...
Step 1.1.1
Combine and .
Step 1.1.2
Combine and .
Step 1.1.3
Combine and .
Step 1.2
Find the common denominator.
Tap for more steps...
Step 1.2.1
Multiply by .
Step 1.2.2
Multiply by .
Step 1.2.3
Multiply by .
Step 1.2.4
Multiply by .
Step 1.2.5
Multiply by .
Step 1.2.6
Reorder the factors of .
Step 1.2.7
Multiply by .
Step 1.3
Combine the numerators over the common denominator.
Step 1.4
Simplify each term.
Tap for more steps...
Step 1.4.1
Move to the left of .
Step 1.4.2
Multiply by .
Step 1.5
Simplify terms.
Tap for more steps...
Step 1.5.1
Subtract from .
Step 1.5.2
Add and .
Step 1.5.3
Cancel the common factor of and .
Tap for more steps...
Step 1.5.3.1
Factor out of .
Step 1.5.3.2
Cancel the common factors.
Tap for more steps...
Step 1.5.3.2.1
Factor out of .
Step 1.5.3.2.2
Cancel the common factor.
Step 1.5.3.2.3
Rewrite the expression.
Step 2
Multiply both sides of the equation by .
Step 3
Simplify both sides of the equation.
Tap for more steps...
Step 3.1
Simplify the left side.
Tap for more steps...
Step 3.1.1
Cancel the common factor of .
Tap for more steps...
Step 3.1.1.1
Cancel the common factor.
Step 3.1.1.2
Rewrite the expression.
Step 3.2
Simplify the right side.
Tap for more steps...
Step 3.2.1
Multiply by .
Step 4
The domain is the set of all valid values.
Step 5