Basic Math Examples

Solve for a |2a-1|=9
Step 1
Remove the absolute value term. This creates a on the right side of the equation because .
Step 2
The complete solution is the result of both the positive and negative portions of the solution.
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Step 2.1
First, use the positive value of the to find the first solution.
Step 2.2
Move all terms not containing to the right side of the equation.
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Step 2.2.1
Add to both sides of the equation.
Step 2.2.2
Add and .
Step 2.3
Divide each term in by and simplify.
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Step 2.3.1
Divide each term in by .
Step 2.3.2
Simplify the left side.
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Step 2.3.2.1
Cancel the common factor of .
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Step 2.3.2.1.1
Cancel the common factor.
Step 2.3.2.1.2
Divide by .
Step 2.3.3
Simplify the right side.
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Step 2.3.3.1
Divide by .
Step 2.4
Next, use the negative value of the to find the second solution.
Step 2.5
Move all terms not containing to the right side of the equation.
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Step 2.5.1
Add to both sides of the equation.
Step 2.5.2
Add and .
Step 2.6
Divide each term in by and simplify.
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Step 2.6.1
Divide each term in by .
Step 2.6.2
Simplify the left side.
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Step 2.6.2.1
Cancel the common factor of .
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Step 2.6.2.1.1
Cancel the common factor.
Step 2.6.2.1.2
Divide by .
Step 2.6.3
Simplify the right side.
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Step 2.6.3.1
Divide by .
Step 2.7
The complete solution is the result of both the positive and negative portions of the solution.