Question
Factor the expression
x(2−33x3)
Evaluate
2x−33x4
Rewrite the expression
x×2−x×33x3
Solution
x(2−33x3)
Show Solution

Find the roots
x1=0,x2=3332178
Alternative Form
x1=0,x2≈0.3928
Evaluate
2x−33x4
To find the roots of the expression,set the expression equal to 0
2x−33x4=0
Factor the expression
x(2−33x3)=0
Separate the equation into 2 possible cases
x=02−33x3=0
Solve the equation
More Steps

Evaluate
2−33x3=0
Move the constant to the right-hand side and change its sign
−33x3=0−2
Removing 0 doesn't change the value,so remove it from the expression
−33x3=−2
Change the signs on both sides of the equation
33x3=2
Divide both sides
3333x3=332
Divide the numbers
x3=332
Take the 3-th root on both sides of the equation
3x3=3332
Calculate
x=3332
Simplify the root
More Steps

Evaluate
3332
To take a root of a fraction,take the root of the numerator and denominator separately
33332
Multiply by the Conjugate
333×333232×3332
Simplify
333×333232×31089
Multiply the numbers
333×333232178
Multiply the numbers
3332178
x=3332178
x=0x=3332178
Solution
x1=0,x2=3332178
Alternative Form
x1=0,x2≈0.3928
Show Solution
