Basic Math Examples

Solve for z y=((z-3)(z-1))/((z-1)(z-5))
Step 1
Rewrite the equation as .
Step 2
Reduce the expression by cancelling the common factors.
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Step 2.1
Cancel the common factor.
Step 2.2
Rewrite the expression.
Step 3
Find the LCD of the terms in the equation.
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Step 3.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 3.2
Remove parentheses.
Step 3.3
The LCM of one and any expression is the expression.
Step 4
Multiply each term in by to eliminate the fractions.
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Step 4.1
Multiply each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Rewrite the expression.
Step 4.3
Simplify the right side.
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Step 4.3.1
Apply the distributive property.
Step 4.3.2
Move to the left of .
Step 5
Solve the equation.
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Step 5.1
Subtract from both sides of the equation.
Step 5.2
Add to both sides of the equation.
Step 5.3
Factor out of .
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Step 5.3.1
Factor out of .
Step 5.3.2
Factor out of .
Step 5.3.3
Factor out of .
Step 5.4
Divide each term in by and simplify.
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Step 5.4.1
Divide each term in by .
Step 5.4.2
Simplify the left side.
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Step 5.4.2.1
Cancel the common factor of .
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Step 5.4.2.1.1
Cancel the common factor.
Step 5.4.2.1.2
Divide by .
Step 5.4.3
Simplify the right side.
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Step 5.4.3.1
Combine the numerators over the common denominator.
Step 5.4.3.2
Factor out of .
Step 5.4.3.3
Rewrite as .
Step 5.4.3.4
Factor out of .
Step 5.4.3.5
Simplify the expression.
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Step 5.4.3.5.1
Rewrite as .
Step 5.4.3.5.2
Move the negative in front of the fraction.