Question
Factor the expression
x3(1−7x3)
Evaluate
x3−7x6
Rewrite the expression
x3−x3×7x3
Solution
x3(1−7x3)
Show Solution

Find the roots
x1=0,x2=7349
Alternative Form
x1=0,x2≈0.522758
Evaluate
x3−7x6
To find the roots of the expression,set the expression equal to 0
x3−7x6=0
Factor the expression
x3(1−7x3)=0
Separate the equation into 2 possible cases
x3=01−7x3=0
The only way a power can be 0 is when the base equals 0
x=01−7x3=0
Solve the equation
More Steps

Evaluate
1−7x3=0
Move the constant to the right-hand side and change its sign
−7x3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−7x3=−1
Change the signs on both sides of the equation
7x3=1
Divide both sides
77x3=71
Divide the numbers
x3=71
Take the 3-th root on both sides of the equation
3x3=371
Calculate
x=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
x=7349
x=0x=7349
Solution
x1=0,x2=7349
Alternative Form
x1=0,x2≈0.522758
Show Solution
