Question
Factor the expression
3x(1−14x3)
Evaluate
3x−42x4
Rewrite the expression
3x−3x×14x3
Solution
3x(1−14x3)
Show Solution

Find the roots
x1=0,x2=143196
Alternative Form
x1=0,x2≈0.414913
Evaluate
3x−42x4
To find the roots of the expression,set the expression equal to 0
3x−42x4=0
Factor the expression
3x(1−14x3)=0
Divide both sides
x(1−14x3)=0
Separate the equation into 2 possible cases
x=01−14x3=0
Solve the equation
More Steps

Evaluate
1−14x3=0
Move the constant to the right-hand side and change its sign
−14x3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−14x3=−1
Change the signs on both sides of the equation
14x3=1
Divide both sides
1414x3=141
Divide the numbers
x3=141
Take the 3-th root on both sides of the equation
3x3=3141
Calculate
x=3141
Simplify the root
More Steps

Evaluate
3141
To take a root of a fraction,take the root of the numerator and denominator separately
31431
Simplify the radical expression
3141
Multiply by the Conjugate
314×31423142
Simplify
314×31423196
Multiply the numbers
143196
x=143196
x=0x=143196
Solution
x1=0,x2=143196
Alternative Form
x1=0,x2≈0.414913
Show Solution
