Question
Factor the expression
z2(1−6z3)
Evaluate
z2−6z5
Rewrite the expression
z2−z2×6z3
Solution
z2(1−6z3)
Show Solution

Find the roots
z1=0,z2=6336
Alternative Form
z1=0,z2≈0.550321
Evaluate
z2−6z5
To find the roots of the expression,set the expression equal to 0
z2−6z5=0
Factor the expression
z2(1−6z3)=0
Separate the equation into 2 possible cases
z2=01−6z3=0
The only way a power can be 0 is when the base equals 0
z=01−6z3=0
Solve the equation
More Steps

Evaluate
1−6z3=0
Move the constant to the right-hand side and change its sign
−6z3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−6z3=−1
Change the signs on both sides of the equation
6z3=1
Divide both sides
66z3=61
Divide the numbers
z3=61
Take the 3-th root on both sides of the equation
3z3=361
Calculate
z=361
Simplify the root
More Steps

Evaluate
361
To take a root of a fraction,take the root of the numerator and denominator separately
3631
Simplify the radical expression
361
Multiply by the Conjugate
36×362362
Simplify
36×362336
Multiply the numbers
6336
z=6336
z=0z=6336
Solution
z1=0,z2=6336
Alternative Form
z1=0,z2≈0.550321
Show Solution
