Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−12)(x+8)
Evaluate
x2−4x−96
Rewrite the expression
x2+(8−12)x−96
Calculate
x2+8x−12x−96
Rewrite the expression
x×x+x×8−12x−12×8
Factor out x from the expression
x(x+8)−12x−12×8
Factor out −12 from the expression
x(x+8)−12(x+8)
Solution
(x−12)(x+8)
Show Solution
Find the roots
x1=−8,x2=12
Evaluate
x2−4x−96
To find the roots of the expression,set the expression equal to 0
x2−4x−96=0
Factor the expression
More Steps
Evaluate
x2−4x−96
Rewrite the expression
x2+(8−12)x−96
Calculate
x2+8x−12x−96
Rewrite the expression
x×x+x×8−12x−12×8
Factor out x from the expression
x(x+8)−12x−12×8
Factor out −12 from the expression
x(x+8)−12(x+8)
Factor out x+8 from the expression
(x−12)(x+8)
(x−12)(x+8)=0
When the product of factors equals 0,at least one factor is 0
x−12=0x+8=0
Solve the equation for x
More Steps
Evaluate
x−12=0
Move the constant to the right-hand side and change its sign
x=0+12
Removing 0 doesn't change the value,so remove it from the expression
x=12
x=12x+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=12x=−8
Solution
x1=−8,x2=12
Show Solution