Question
Factor the expression
Factor
(x−6)(x+8)
Evaluate
x2+2x−48
Rewrite the expression
x2+(8−6)x−48
Calculate
x2+8x−6x−48
Rewrite the expression
x×x+x×8−6x−6×8
Factor out x from the expression
x(x+8)−6x−6×8
Factor out −6 from the expression
x(x+8)−6(x+8)
Solution
(x−6)(x+8)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=−8,x2=6
Evaluate
x2+2x−48
To find the roots of the expression,set the expression equal to 0
x2+2x−48=0
Factor the expression
More Steps
Evaluate
x2+2x−48
Rewrite the expression
x2+(8−6)x−48
Calculate
x2+8x−6x−48
Rewrite the expression
x×x+x×8−6x−6×8
Factor out x from the expression
x(x+8)−6x−6×8
Factor out −6 from the expression
x(x+8)−6(x+8)
Factor out x+8 from the expression
(x−6)(x+8)
(x−6)(x+8)=0
When the product of factors equals 0,at least one factor is 0
x−6=0x+8=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+8=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=6x=−8
Solution
x1=−8,x2=6
Show Solution