Question
Solve the equation
z1=0,z2=234
Alternative Form
z1=0,z2≈0.793701
Evaluate
4z=z4×8
Use the commutative property to reorder the terms
4z=8z4
Add or subtract both sides
4z−8z4=0
Factor the expression
4z(1−2z3)=0
Divide both sides
z(1−2z3)=0
Separate the equation into 2 possible cases
z=01−2z3=0
Solve the equation
More Steps

Evaluate
1−2z3=0
Move the constant to the right-hand side and change its sign
−2z3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−2z3=−1
Change the signs on both sides of the equation
2z3=1
Divide both sides
22z3=21
Divide the numbers
z3=21
Take the 3-th root on both sides of the equation
3z3=321
Calculate
z=321
Simplify the root
More Steps

Evaluate
321
To take a root of a fraction,take the root of the numerator and denominator separately
3231
Simplify the radical expression
321
Multiply by the Conjugate
32×322322
Simplify
32×32234
Multiply the numbers
234
z=234
z=0z=234
Solution
z1=0,z2=234
Alternative Form
z1=0,z2≈0.793701
Show Solution
