Question
Factor the expression
9x2(1−2x3)
Evaluate
9x2−18x5
Rewrite the expression
9x2−9x2×2x3
Solution
9x2(1−2x3)
Show Solution

Find the roots
x1=0,x2=234
Alternative Form
x1=0,x2≈0.793701
Evaluate
9x2−18x5
To find the roots of the expression,set the expression equal to 0
9x2−18x5=0
Factor the expression
9x2(1−2x3)=0
Divide both sides
x2(1−2x3)=0
Separate the equation into 2 possible cases
x2=01−2x3=0
The only way a power can be 0 is when the base equals 0
x=01−2x3=0
Solve the equation
More Steps

Evaluate
1−2x3=0
Move the constant to the right-hand side and change its sign
−2x3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−2x3=−1
Change the signs on both sides of the equation
2x3=1
Divide both sides
22x3=21
Divide the numbers
x3=21
Take the 3-th root on both sides of the equation
3x3=321
Calculate
x=321
Simplify the root
More Steps

Evaluate
321
To take a root of a fraction,take the root of the numerator and denominator separately
3231
Simplify the radical expression
321
Multiply by the Conjugate
32×322322
Simplify
32×32234
Multiply the numbers
234
x=234
x=0x=234
Solution
x1=0,x2=234
Alternative Form
x1=0,x2≈0.793701
Show Solution
