Question
Factor the expression
Factor
(x−10)(x+6)
Evaluate
x2−4x−60
Rewrite the expression
x2+(6−10)x−60
Calculate
x2+6x−10x−60
Rewrite the expression
x×x+x×6−10x−10×6
Factor out x from the expression
x(x+6)−10x−10×6
Factor out −10 from the expression
x(x+6)−10(x+6)
Solution
(x−10)(x+6)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=−6,x2=10
Evaluate
x2−4x−60
To find the roots of the expression,set the expression equal to 0
x2−4x−60=0
Factor the expression
More Steps
Evaluate
x2−4x−60
Rewrite the expression
x2+(6−10)x−60
Calculate
x2+6x−10x−60
Rewrite the expression
x×x+x×6−10x−10×6
Factor out x from the expression
x(x+6)−10x−10×6
Factor out −10 from the expression
x(x+6)−10(x+6)
Factor out x+6 from the expression
(x−10)(x+6)
(x−10)(x+6)=0
When the product of factors equals 0,at least one factor is 0
x−10=0x+6=0
Solve the equation for x
More Steps
Evaluate
x−10=0
Move the constant to the right-hand side and change its sign
x=0+10
Removing 0 doesn't change the value,so remove it from the expression
x=10
x=10x+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=10x=−6
Solution
x1=−6,x2=10
Show Solution