Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−40)(x+32)
Evaluate
x2−8x−1280
Rewrite the expression
x2+(32−40)x−1280
Calculate
x2+32x−40x−1280
Rewrite the expression
x×x+x×32−40x−40×32
Factor out x from the expression
x(x+32)−40x−40×32
Factor out −40 from the expression
x(x+32)−40(x+32)
Solution
(x−40)(x+32)
Show Solution
Find the roots
x1=−32,x2=40
Evaluate
x2−8x−1280
To find the roots of the expression,set the expression equal to 0
x2−8x−1280=0
Factor the expression
More Steps
Evaluate
x2−8x−1280
Rewrite the expression
x2+(32−40)x−1280
Calculate
x2+32x−40x−1280
Rewrite the expression
x×x+x×32−40x−40×32
Factor out x from the expression
x(x+32)−40x−40×32
Factor out −40 from the expression
x(x+32)−40(x+32)
Factor out x+32 from the expression
(x−40)(x+32)
(x−40)(x+32)=0
When the product of factors equals 0,at least one factor is 0
x−40=0x+32=0
Solve the equation for x
More Steps
Evaluate
x−40=0
Move the constant to the right-hand side and change its sign
x=0+40
Removing 0 doesn't change the value,so remove it from the expression
x=40
x=40x+32=0
Solve the equation for x
More Steps
Evaluate
x+32=0
Move the constant to the right-hand side and change its sign
x=0−32
Removing 0 doesn't change the value,so remove it from the expression
x=−32
x=40x=−32
Solution
x1=−32,x2=40
Show Solution