Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(z−6)(z+2)
Evaluate
z2−4z−12
Rewrite the expression
z2+(2−6)z−12
Calculate
z2+2z−6z−12
Rewrite the expression
z×z+z×2−6z−6×2
Factor out z from the expression
z(z+2)−6z−6×2
Factor out −6 from the expression
z(z+2)−6(z+2)
Solution
(z−6)(z+2)
Show Solution
Find the roots
z1=−2,z2=6
Evaluate
z2−4z−12
To find the roots of the expression,set the expression equal to 0
z2−4z−12=0
Factor the expression
More Steps
Evaluate
z2−4z−12
Rewrite the expression
z2+(2−6)z−12
Calculate
z2+2z−6z−12
Rewrite the expression
z×z+z×2−6z−6×2
Factor out z from the expression
z(z+2)−6z−6×2
Factor out −6 from the expression
z(z+2)−6(z+2)
Factor out z+2 from the expression
(z−6)(z+2)
(z−6)(z+2)=0
When the product of factors equals 0,at least one factor is 0
z−6=0z+2=0
Solve the equation for z
More Steps
Evaluate
z−6=0
Move the constant to the right-hand side and change its sign
z=0+6
Removing 0 doesn't change the value,so remove it from the expression
z=6
z=6z+2=0
Solve the equation for z
More Steps
Evaluate
z+2=0
Move the constant to the right-hand side and change its sign
z=0−2
Removing 0 doesn't change the value,so remove it from the expression
z=−2
z=6z=−2
Solution
z1=−2,z2=6
Show Solution