Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(z−2)(5z+4)
Evaluate
5z2−6z−8
Rewrite the expression
5z2+(4−10)z−8
Calculate
5z2+4z−10z−8
Rewrite the expression
z×5z+z×4−2×5z−2×4
Factor out z from the expression
z(5z+4)−2×5z−2×4
Factor out −2 from the expression
z(5z+4)−2(5z+4)
Solution
(z−2)(5z+4)
Show Solution
Find the roots
z1=−54,z2=2
Alternative Form
z1=−0.8,z2=2
Evaluate
5z2−6z−8
To find the roots of the expression,set the expression equal to 0
5z2−6z−8=0
Factor the expression
More Steps
Evaluate
5z2−6z−8
Rewrite the expression
5z2+(4−10)z−8
Calculate
5z2+4z−10z−8
Rewrite the expression
z×5z+z×4−2×5z−2×4
Factor out z from the expression
z(5z+4)−2×5z−2×4
Factor out −2 from the expression
z(5z+4)−2(5z+4)
Factor out 5z+4 from the expression
(z−2)(5z+4)
(z−2)(5z+4)=0
When the product of factors equals 0,at least one factor is 0
z−2=05z+4=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=25z+4=0
Solve the equation for z
More Steps
Evaluate
5z+4=0
Move the constant to the right-hand side and change its sign
5z=0−4
Removing 0 doesn't change the value,so remove it from the expression
5z=−4
Divide both sides
55z=5−4
Divide the numbers
z=5−4
Use b−a=−ba=−ba to rewrite the fraction
z=−54
z=2z=−54
Solution
z1=−54,z2=2
Alternative Form
z1=−0.8,z2=2
Show Solution