Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(z−2)(5z+3)
Evaluate
5z2−7z−6
Rewrite the expression
5z2+(3−10)z−6
Calculate
5z2+3z−10z−6
Rewrite the expression
z×5z+z×3−2×5z−2×3
Factor out z from the expression
z(5z+3)−2×5z−2×3
Factor out −2 from the expression
z(5z+3)−2(5z+3)
Solution
(z−2)(5z+3)
Show Solution
Find the roots
z1=−53,z2=2
Alternative Form
z1=−0.6,z2=2
Evaluate
5z2−7z−6
To find the roots of the expression,set the expression equal to 0
5z2−7z−6=0
Factor the expression
More Steps
Evaluate
5z2−7z−6
Rewrite the expression
5z2+(3−10)z−6
Calculate
5z2+3z−10z−6
Rewrite the expression
z×5z+z×3−2×5z−2×3
Factor out z from the expression
z(5z+3)−2×5z−2×3
Factor out −2 from the expression
z(5z+3)−2(5z+3)
Factor out 5z+3 from the expression
(z−2)(5z+3)
(z−2)(5z+3)=0
When the product of factors equals 0,at least one factor is 0
z−2=05z+3=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+3=0
Solve the equation for z
More Steps
Evaluate
5z+3=0
Move the constant to the right-hand side and change its sign
5z=0−3
Removing 0 doesn't change the value,so remove it from the expression
5z=−3
Divide both sides
55z=5−3
Divide the numbers
z=5−3
Use b−a=−ba=−ba to rewrite the fraction
z=−53
z=2z=−53
Solution
z1=−53,z2=2
Alternative Form
z1=−0.6,z2=2
Show Solution