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Algebra Examples
Step 1
Step 1.1
Group the first two terms and the last two terms.
Step 1.2
Factor out the greatest common factor (GCF) from each group.
Step 2
Factor the polynomial by factoring out the greatest common factor, .
Step 3
Rewrite as .
Step 4
Step 4.1
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 4.2
Remove unnecessary parentheses.
Step 5
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 6
Step 6.1
Set equal to .
Step 6.2
Subtract from both sides of the equation.
Step 7
Step 7.1
Set equal to .
Step 7.2
Subtract from both sides of the equation.
Step 8
Step 8.1
Set equal to .
Step 8.2
Add to both sides of the equation.
Step 9
The final solution is all the values that make true.