Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2(x−16)(x+12)
Evaluate
2x2−8x−384
Rewrite the expression
2x2−2×4x−2×192
Factor out 2 from the expression
2(x2−4x−192)
Solution
More Steps
Evaluate
x2−4x−192
Rewrite the expression
x2+(12−16)x−192
Calculate
x2+12x−16x−192
Rewrite the expression
x×x+x×12−16x−16×12
Factor out x from the expression
x(x+12)−16x−16×12
Factor out −16 from the expression
x(x+12)−16(x+12)
Factor out x+12 from the expression
(x−16)(x+12)
2(x−16)(x+12)
Show Solution
Find the roots
x1=−12,x2=16
Evaluate
2x2−8x−384
To find the roots of the expression,set the expression equal to 0
2x2−8x−384=0
Factor the expression
More Steps
Evaluate
2x2−8x−384
Rewrite the expression
2x2−2×4x−2×192
Factor out 2 from the expression
2(x2−4x−192)
Factor the expression
More Steps
Evaluate
x2−4x−192
Rewrite the expression
x2+(12−16)x−192
Calculate
x2+12x−16x−192
Rewrite the expression
x×x+x×12−16x−16×12
Factor out x from the expression
x(x+12)−16x−16×12
Factor out −16 from the expression
x(x+12)−16(x+12)
Factor out x+12 from the expression
(x−16)(x+12)
2(x−16)(x+12)
2(x−16)(x+12)=0
Divide the terms
(x−16)(x+12)=0
When the product of factors equals 0,at least one factor is 0
x−16=0x+12=0
Solve the equation for x
More Steps
Evaluate
x−16=0
Move the constant to the right-hand side and change its sign
x=0+16
Removing 0 doesn't change the value,so remove it from the expression
x=16
x=16x+12=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=16x=−12
Solution
x1=−12,x2=16
Show Solution