Basic Math Examples

Solve for y -6y=6y^-1
Step 1
Simplify .
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Step 1.1
Rewrite the expression using the negative exponent rule .
Step 1.2
Combine and .
Step 2
Subtract from both sides of the equation.
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
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
Simplify each term.
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Step 4.2.1.1
Multiply by by adding the exponents.
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Step 4.2.1.1.1
Move .
Step 4.2.1.1.2
Multiply by .
Step 4.2.1.2
Cancel the common factor of .
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Step 4.2.1.2.1
Move the leading negative in into the numerator.
Step 4.2.1.2.2
Cancel the common factor.
Step 4.2.1.2.3
Rewrite the expression.
Step 4.3
Simplify the right side.
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Step 4.3.1
Multiply by .
Step 5
Solve the equation.
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Step 5.1
Add to both sides of the equation.
Step 5.2
Divide each term in by and simplify.
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Step 5.2.1
Divide each term in by .
Step 5.2.2
Simplify the left side.
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Step 5.2.2.1
Cancel the common factor of .
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Step 5.2.2.1.1
Cancel the common factor.
Step 5.2.2.1.2
Divide by .
Step 5.2.3
Simplify the right side.
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Step 5.2.3.1
Divide by .
Step 5.3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 5.4
Rewrite as .
Step 5.5
The complete solution is the result of both the positive and negative portions of the solution.
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Step 5.5.1
First, use the positive value of the to find the first solution.
Step 5.5.2
Next, use the negative value of the to find the second solution.
Step 5.5.3
The complete solution is the result of both the positive and negative portions of the solution.