Linear Algebra Examples

Find the Domain 2/4+1=6/2n
Step 1
Rewrite the equation as .
Step 2
Simplify.
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Step 2.1
Reduce the expression by cancelling the common factors.
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Step 2.1.1
Factor out of .
Step 2.1.2
Factor out of .
Step 2.1.3
Cancel the common factor.
Step 2.1.4
Rewrite the expression.
Step 2.2
Divide by .
Step 2.3
Reduce the expression by cancelling the common factors.
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Step 2.3.1
Factor out of .
Step 2.3.2
Factor out of .
Step 2.3.3
Cancel the common factor.
Step 2.3.4
Rewrite the expression.
Step 2.4
Write as a fraction with a common denominator.
Step 2.5
Combine the numerators over the common denominator.
Step 2.6
Add and .
Step 3
Divide each term in by and simplify.
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Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of .
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Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Divide by .
Step 3.3
Simplify the right side.
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Step 3.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 3.3.2
Cancel the common factor of .
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Step 3.3.2.1
Cancel the common factor.
Step 3.3.2.2
Rewrite the expression.
Step 4
The domain is the set of all valid values.
Step 5