Question
Factor the expression
n3(1−7n3)
Evaluate
n3−7n6
Rewrite the expression
n3−n3×7n3
Solution
n3(1−7n3)
Show Solution

Find the roots
n1=0,n2=7349
Alternative Form
n1=0,n2≈0.522758
Evaluate
n3−7n6
To find the roots of the expression,set the expression equal to 0
n3−7n6=0
Factor the expression
n3(1−7n3)=0
Separate the equation into 2 possible cases
n3=01−7n3=0
The only way a power can be 0 is when the base equals 0
n=01−7n3=0
Solve the equation
More Steps

Evaluate
1−7n3=0
Move the constant to the right-hand side and change its sign
−7n3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−7n3=−1
Change the signs on both sides of the equation
7n3=1
Divide both sides
77n3=71
Divide the numbers
n3=71
Take the 3-th root on both sides of the equation
3n3=371
Calculate
n=371
Simplify the root
More Steps

Evaluate
371
To take a root of a fraction,take the root of the numerator and denominator separately
3731
Simplify the radical expression
371
Multiply by the Conjugate
37×372372
Simplify
37×372349
Multiply the numbers
7349
n=7349
n=0n=7349
Solution
n1=0,n2=7349
Alternative Form
n1=0,n2≈0.522758
Show Solution
