# Solve using the Square Root Property x(x-1)=12 x(x-1)=12
Simplify x(x-1).
Simplify by multiplying through.
Apply the distributive property.
x⋅x+x⋅-1=12
Simplify the expression.
Multiply x by x.
x2+x⋅-1=12
Move -1 to the left of x.
x2-1⋅x=12
x2-1⋅x=12
x2-1⋅x=12
Rewrite -1x as -x.
x2-x=12
x2-x=12
Move 12 to the left side of the equation by subtracting it from both sides.
x2-x-12=0
Factor x2-x-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 -1.
-4,3
Write the factored form using these integers.
(x-4)(x+3)=0
(x-4)(x+3)=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-4=0
x+3=0
Set the first factor equal to 0 and solve.
Set the first factor equal to 0.
x-4=0
Add 4 to both sides of the equation.
x=4
x=4
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
x+3=0
Subtract 3 from both sides of the equation.
x=-3
x=-3
The final solution is all the values that make (x-4)(x+3)=0 true.
x=4,-3
Solve using the Square Root Property x(x-1)=12     