Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−12)(x+4)
Evaluate
x2−8x−48
Rewrite the expression
x2+(4−12)x−48
Calculate
x2+4x−12x−48
Rewrite the expression
x×x+x×4−12x−12×4
Factor out x from the expression
x(x+4)−12x−12×4
Factor out −12 from the expression
x(x+4)−12(x+4)
Solution
(x−12)(x+4)
Show Solution
Find the roots
x1=−4,x2=12
Evaluate
x2−8x−48
To find the roots of the expression,set the expression equal to 0
x2−8x−48=0
Factor the expression
More Steps
Evaluate
x2−8x−48
Rewrite the expression
x2+(4−12)x−48
Calculate
x2+4x−12x−48
Rewrite the expression
x×x+x×4−12x−12×4
Factor out x from the expression
x(x+4)−12x−12×4
Factor out −12 from the expression
x(x+4)−12(x+4)
Factor out x+4 from the expression
(x−12)(x+4)
(x−12)(x+4)=0
When the product of factors equals 0,at least one factor is 0
x−12=0x+4=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+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=12x=−4
Solution
x1=−4,x2=12
Show Solution