Question
Factor the expression
Factor
(x−8)(x−6)
Evaluate
x2−14x+48
Rewrite the expression
x2+(−6−8)x+48
Calculate
x2−6x−8x+48
Rewrite the expression
x×x−x×6−8x+8×6
Factor out x from the expression
x(x−6)−8x+8×6
Factor out −8 from the expression
x(x−6)−8(x−6)
Solution
(x−8)(x−6)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=6,x2=8
Evaluate
x2−14x+48
To find the roots of the expression,set the expression equal to 0
x2−14x+48=0
Factor the expression
More Steps
Evaluate
x2−14x+48
Rewrite the expression
x2+(−6−8)x+48
Calculate
x2−6x−8x+48
Rewrite the expression
x×x−x×6−8x+8×6
Factor out x from the expression
x(x−6)−8x+8×6
Factor out −8 from the expression
x(x−6)−8(x−6)
Factor out x−6 from the expression
(x−8)(x−6)
(x−8)(x−6)=0
When the product of factors equals 0,at least one factor is 0
x−8=0x−6=0
Solve the equation for x
More Steps
Evaluate
x−8=0
Move the constant to the right-hand side and change its sign
x=0+8
Removing 0 doesn't change the value,so remove it from the expression
x=8
x=8x−6=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=8x=6
Solution
x1=6,x2=8
Show Solution