Question
Factor the expression
x2(1−4x3)
Evaluate
x2−4x5
Rewrite the expression
x2−x2×4x3
Solution
x2(1−4x3)
Show Solution

Find the roots
x1=0,x2=232
Alternative Form
x1=0,x2≈0.629961
Evaluate
x2−4x5
To find the roots of the expression,set the expression equal to 0
x2−4x5=0
Factor the expression
x2(1−4x3)=0
Separate the equation into 2 possible cases
x2=01−4x3=0
The only way a power can be 0 is when the base equals 0
x=01−4x3=0
Solve the equation
More Steps

Evaluate
1−4x3=0
Move the constant to the right-hand side and change its sign
−4x3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−4x3=−1
Change the signs on both sides of the equation
4x3=1
Divide both sides
44x3=41
Divide the numbers
x3=41
Take the 3-th root on both sides of the equation
3x3=341
Calculate
x=341
Simplify the root
More Steps

Evaluate
341
To take a root of a fraction,take the root of the numerator and denominator separately
3431
Simplify the radical expression
341
Multiply by the Conjugate
34×342342
Simplify
34×342232
Multiply the numbers
22232
Reduce the fraction
232
x=232
x=0x=232
Solution
x1=0,x2=232
Alternative Form
x1=0,x2≈0.629961
Show Solution
