Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−10)(x+8)
Evaluate
x2−2x−80
Rewrite the expression
x2+(8−10)x−80
Calculate
x2+8x−10x−80
Rewrite the expression
x×x+x×8−10x−10×8
Factor out x from the expression
x(x+8)−10x−10×8
Factor out −10 from the expression
x(x+8)−10(x+8)
Solution
(x−10)(x+8)
Show Solution
Find the roots
x1=−8,x2=10
Evaluate
x2−2x−80
To find the roots of the expression,set the expression equal to 0
x2−2x−80=0
Factor the expression
More Steps
Evaluate
x2−2x−80
Rewrite the expression
x2+(8−10)x−80
Calculate
x2+8x−10x−80
Rewrite the expression
x×x+x×8−10x−10×8
Factor out x from the expression
x(x+8)−10x−10×8
Factor out −10 from the expression
x(x+8)−10(x+8)
Factor out x+8 from the expression
(x−10)(x+8)
(x−10)(x+8)=0
When the product of factors equals 0,at least one factor is 0
x−10=0x+8=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+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=10x=−8
Solution
x1=−8,x2=10
Show Solution