Question
Factor the expression
Factor
(x−6)(x−2)
Evaluate
x2−8x+12
Rewrite the expression
x2+(−2−6)x+12
Calculate
x2−2x−6x+12
Rewrite the expression
x×x−x×2−6x+6×2
Factor out x from the expression
x(x−2)−6x+6×2
Factor out −6 from the expression
x(x−2)−6(x−2)
Solution
(x−6)(x−2)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=2,x2=6
Evaluate
x2−8x+12
To find the roots of the expression,set the expression equal to 0
x2−8x+12=0
Factor the expression
More Steps
Evaluate
x2−8x+12
Rewrite the expression
x2+(−2−6)x+12
Calculate
x2−2x−6x+12
Rewrite the expression
x×x−x×2−6x+6×2
Factor out x from the expression
x(x−2)−6x+6×2
Factor out −6 from the expression
x(x−2)−6(x−2)
Factor out x−2 from the expression
(x−6)(x−2)
(x−6)(x−2)=0
When the product of factors equals 0,at least one factor is 0
x−6=0x−2=0
Solve the equation for x
More Steps
Evaluate
x−6=0
Move the constant to the right-hand side and change its sign
x=0+6
Removing 0 doesn't change the value,so remove it from the expression
x=6
x=6x−2=0
Solve the equation for x
More Steps
Evaluate
x−2=0
Move the constant to the right-hand side and change its sign
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
x=6x=2
Solution
x1=2,x2=6
Show Solution