Question
Factor the expression
x2(2−5x3)
Evaluate
2x2−5x5
Rewrite the expression
x2×2−x2×5x3
Solution
x2(2−5x3)
Show Solution

Find the roots
x1=0,x2=5350
Alternative Form
x1=0,x2≈0.736806
Evaluate
2x2−5x5
To find the roots of the expression,set the expression equal to 0
2x2−5x5=0
Factor the expression
x2(2−5x3)=0
Separate the equation into 2 possible cases
x2=02−5x3=0
The only way a power can be 0 is when the base equals 0
x=02−5x3=0
Solve the equation
More Steps

Evaluate
2−5x3=0
Move the constant to the right-hand side and change its sign
−5x3=0−2
Removing 0 doesn't change the value,so remove it from the expression
−5x3=−2
Change the signs on both sides of the equation
5x3=2
Divide both sides
55x3=52
Divide the numbers
x3=52
Take the 3-th root on both sides of the equation
3x3=352
Calculate
x=352
Simplify the root
More Steps

Evaluate
352
To take a root of a fraction,take the root of the numerator and denominator separately
3532
Multiply by the Conjugate
35×35232×352
Simplify
35×35232×325
Multiply the numbers
35×352350
Multiply the numbers
5350
x=5350
x=0x=5350
Solution
x1=0,x2=5350
Alternative Form
x1=0,x2≈0.736806
Show Solution
