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Algebra Examples
Step 1
Combine and .
Step 2
Step 2.1
Subtract from both sides of the equation.
Step 2.2
Subtract from .
Step 3
Multiply both sides of the equation by .
Step 4
Step 4.1
Simplify the left side.
Step 4.1.1
Simplify .
Step 4.1.1.1
Cancel the common factor of .
Step 4.1.1.1.1
Move the leading negative in into the numerator.
Step 4.1.1.1.2
Factor out of .
Step 4.1.1.1.3
Cancel the common factor.
Step 4.1.1.1.4
Rewrite the expression.
Step 4.1.1.2
Multiply.
Step 4.1.1.2.1
Multiply by .
Step 4.1.1.2.2
Multiply by .
Step 4.2
Simplify the right side.
Step 4.2.1
Multiply by .
Step 5
Remove the absolute value term. This creates a on the right side of the equation because .
Step 6
Step 6.1
First, use the positive value of the to find the first solution.
Step 6.2
Move all terms not containing to the right side of the equation.
Step 6.2.1
Add to both sides of the equation.
Step 6.2.2
Add and .
Step 6.3
Next, use the negative value of the to find the second solution.
Step 6.4
Move all terms not containing to the right side of the equation.
Step 6.4.1
Add to both sides of the equation.
Step 6.4.2
Add and .
Step 6.5
The complete solution is the result of both the positive and negative portions of the solution.