Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−8)(x+4)
Evaluate
x2−4x−32
Rewrite the expression
x2+(4−8)x−32
Calculate
x2+4x−8x−32
Rewrite the expression
x×x+x×4−8x−8×4
Factor out x from the expression
x(x+4)−8x−8×4
Factor out −8 from the expression
x(x+4)−8(x+4)
Solution
(x−8)(x+4)
Show Solution
Find the roots
x1=−4,x2=8
Evaluate
x2−4x−32
To find the roots of the expression,set the expression equal to 0
x2−4x−32=0
Factor the expression
More Steps
Evaluate
x2−4x−32
Rewrite the expression
x2+(4−8)x−32
Calculate
x2+4x−8x−32
Rewrite the expression
x×x+x×4−8x−8×4
Factor out x from the expression
x(x+4)−8x−8×4
Factor out −8 from the expression
x(x+4)−8(x+4)
Factor out x+4 from the expression
(x−8)(x+4)
(x−8)(x+4)=0
When the product of factors equals 0,at least one factor is 0
x−8=0x+4=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+4=0
Solve the equation for x
More Steps
Evaluate
x+4=0
Move the constant to the right-hand side and change its sign
x=0−4
Removing 0 doesn't change the value,so remove it from the expression
x=−4
x=8x=−4
Solution
x1=−4,x2=8
Show Solution