# Solve Using the Square Root Property x(x-11)=12 x(x-11)=12
Simplify x(x-11).
Apply the distributive property.
x⋅x+x⋅-11=12
Simplify the expression.
Multiply x by x.
x2+x⋅-11=12
Move -11 to the left of x.
x2-11x=12
x2-11x=12
x2-11x=12
Move 12 to the left side of the equation by subtracting it from both sides.
x2-11x-12=0
Factor x2-11x-12 using the AC method.
Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -12 and whose sum is -11.
-12,1
Write the factored form using these integers.
(x-12)(x+1)=0
(x-12)(x+1)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x-12=0
x+1=0
Set the first factor equal to 0 and solve.
Set the first factor equal to 0.
x-12=0
Add 12 to both sides of the equation.
x=12
x=12
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
x+1=0
Subtract 1 from both sides of the equation.
x=-1
x=-1
The final solution is all the values that make (x-12)(x+1)=0 true.
x=12,-1
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