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