Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
8x2−32x−96
Evaluate
8(x2−4x−12)
Apply the distributive property
8x2−8×4x−8×12
Multiply the numbers
8x2−32x−8×12
Solution
8x2−32x−96
Show Solution
Factor the expression
8(x−6)(x+2)
Evaluate
8(x2−4x−12)
Solution
More Steps
Evaluate
x2−4x−12
Rewrite the expression
x2+(2−6)x−12
Calculate
x2+2x−6x−12
Rewrite the expression
x×x+x×2−6x−6×2
Factor out x from the expression
x(x+2)−6x−6×2
Factor out −6 from the expression
x(x+2)−6(x+2)
Factor out x+2 from the expression
(x−6)(x+2)
8(x−6)(x+2)
Show Solution
Find the roots
x1=−2,x2=6
Evaluate
8(x2−4x−12)
To find the roots of the expression,set the expression equal to 0
8(x2−4x−12)=0
Rewrite the expression
x2−4x−12=0
Factor the expression
More Steps
Evaluate
x2−4x−12
Rewrite the expression
x2+(2−6)x−12
Calculate
x2+2x−6x−12
Rewrite the expression
x×x+x×2−6x−6×2
Factor out x from the expression
x(x+2)−6x−6×2
Factor out −6 from the expression
x(x+2)−6(x+2)
Factor out x+2 from the expression
(x−6)(x+2)
(x−6)(x+2)=0
When the product of factors equals 0,at least one factor is 0
x−6=0x+2=0
Solve the equation for x
More Steps
Evaluate
x−6=0
Move the constant to the right-hand side and change its sign
x=0+6
Removing 0 doesn't change the value,so remove it from the expression
x=6
x=6x+2=0
Solve the equation for x
More Steps
Evaluate
x+2=0
Move the constant to the right-hand side and change its sign
x=0−2
Removing 0 doesn't change the value,so remove it from the expression
x=−2
x=6x=−2
Solution
x1=−2,x2=6
Show Solution