Question
Factor the expression
x2(3−4x3)
Evaluate
3x2−4x5
Rewrite the expression
x2×3−x2×4x3
Solution
x2(3−4x3)
Show Solution

Find the roots
x1=0,x2=236
Alternative Form
x1=0,x2≈0.90856
Evaluate
3x2−4x5
To find the roots of the expression,set the expression equal to 0
3x2−4x5=0
Factor the expression
x2(3−4x3)=0
Separate the equation into 2 possible cases
x2=03−4x3=0
The only way a power can be 0 is when the base equals 0
x=03−4x3=0
Solve the equation
More Steps

Evaluate
3−4x3=0
Move the constant to the right-hand side and change its sign
−4x3=0−3
Removing 0 doesn't change the value,so remove it from the expression
−4x3=−3
Change the signs on both sides of the equation
4x3=3
Divide both sides
44x3=43
Divide the numbers
x3=43
Take the 3-th root on both sides of the equation
3x3=343
Calculate
x=343
Simplify the root
More Steps

Evaluate
343
To take a root of a fraction,take the root of the numerator and denominator separately
3433
Multiply by the Conjugate
34×34233×342
Simplify
34×34233×232
Multiply the numbers
34×342236
Multiply the numbers
22236
Reduce the fraction
236
x=236
x=0x=236
Solution
x1=0,x2=236
Alternative Form
x1=0,x2≈0.90856
Show Solution
