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Algebra Examples
Step 1
Step 1.1
Subtract from both sides of the equation.
Step 1.2
Simplify each term.
Step 1.2.1
Rewrite as .
Step 1.2.2
Expand using the FOIL Method.
Step 1.2.2.1
Apply the distributive property.
Step 1.2.2.2
Apply the distributive property.
Step 1.2.2.3
Apply the distributive property.
Step 1.2.3
Simplify and combine like terms.
Step 1.2.3.1
Simplify each term.
Step 1.2.3.1.1
Multiply by .
Step 1.2.3.1.2
Move to the left of .
Step 1.2.3.1.3
Multiply by .
Step 1.2.3.2
Subtract from .
Step 1.3
Subtract from .
Step 2
Add to both sides of the equation.
Step 3
Add and .
Step 4
Step 4.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 4.2
Write the factored form using these integers.
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
Add to both sides of the equation.
Step 7
Step 7.1
Set equal to .
Step 7.2
Add to both sides of the equation.
Step 8
The final solution is all the values that make true.