# Solve by Completing the Square (x-12)(x+4)=9 Simplify the equation into a proper form to complete the square.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Move to the left of .
Multiply by .
Subtract from .
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of .
Add the term to each side of the equation.
Simplify the equation.
Raise to the power of .
Simplify .
Raise to the power of .
Factor the perfect trinomial square into .
Solve the equation for .
Take the root of each side of the to set up the solution for
Remove the perfect root factor under the radical to solve for .
Remove parentheses.
Add to both sides of the equation.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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