Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(z−4)(z+3)
Evaluate
z2−z−12
Rewrite the expression
z2+(3−4)z−12
Calculate
z2+3z−4z−12
Rewrite the expression
z×z+z×3−4z−4×3
Factor out z from the expression
z(z+3)−4z−4×3
Factor out −4 from the expression
z(z+3)−4(z+3)
Solution
(z−4)(z+3)
Show Solution
Find the roots
z1=−3,z2=4
Evaluate
z2−z−12
To find the roots of the expression,set the expression equal to 0
z2−z−12=0
Factor the expression
More Steps
Evaluate
z2−z−12
Rewrite the expression
z2+(3−4)z−12
Calculate
z2+3z−4z−12
Rewrite the expression
z×z+z×3−4z−4×3
Factor out z from the expression
z(z+3)−4z−4×3
Factor out −4 from the expression
z(z+3)−4(z+3)
Factor out z+3 from the expression
(z−4)(z+3)
(z−4)(z+3)=0
When the product of factors equals 0,at least one factor is 0
z−4=0z+3=0
Solve the equation for z
More Steps
Evaluate
z−4=0
Move the constant to the right-hand side and change its sign
z=0+4
Removing 0 doesn't change the value,so remove it from the expression
z=4
z=4z+3=0
Solve the equation for z
More Steps
Evaluate
z+3=0
Move the constant to the right-hand side and change its sign
z=0−3
Removing 0 doesn't change the value,so remove it from the expression
z=−3
z=4z=−3
Solution
z1=−3,z2=4
Show Solution