Question
Factor the expression
Factor
(x−8)(x+9)
Evaluate
x2+x−72
Rewrite the expression
x2+(9−8)x−72
Calculate
x2+9x−8x−72
Rewrite the expression
x×x+x×9−8x−8×9
Factor out x from the expression
x(x+9)−8x−8×9
Factor out −8 from the expression
x(x+9)−8(x+9)
Solution
(x−8)(x+9)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=−9,x2=8
Evaluate
x2+x−72
To find the roots of the expression,set the expression equal to 0
x2+x−72=0
Factor the expression
More Steps
Evaluate
x2+x−72
Rewrite the expression
x2+(9−8)x−72
Calculate
x2+9x−8x−72
Rewrite the expression
x×x+x×9−8x−8×9
Factor out x from the expression
x(x+9)−8x−8×9
Factor out −8 from the expression
x(x+9)−8(x+9)
Factor out x+9 from the expression
(x−8)(x+9)
(x−8)(x+9)=0
When the product of factors equals 0,at least one factor is 0
x−8=0x+9=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+9=0
Solve the equation for x
More Steps
Evaluate
x+9=0
Move the constant to the right-hand side and change its sign
x=0−9
Removing 0 doesn't change the value,so remove it from the expression
x=−9
x=8x=−9
Solution
x1=−9,x2=8
Show Solution