Question
Factor the expression
2x2(1−10x3)
Evaluate
2x2−20x5
Rewrite the expression
2x2−2x2×10x3
Solution
2x2(1−10x3)
Show Solution

Find the roots
x1=0,x2=103100
Alternative Form
x1=0,x2≈0.464159
Evaluate
2x2−20x5
To find the roots of the expression,set the expression equal to 0
2x2−20x5=0
Factor the expression
2x2(1−10x3)=0
Divide both sides
x2(1−10x3)=0
Separate the equation into 2 possible cases
x2=01−10x3=0
The only way a power can be 0 is when the base equals 0
x=01−10x3=0
Solve the equation
More Steps

Evaluate
1−10x3=0
Move the constant to the right-hand side and change its sign
−10x3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−10x3=−1
Change the signs on both sides of the equation
10x3=1
Divide both sides
1010x3=101
Divide the numbers
x3=101
Take the 3-th root on both sides of the equation
3x3=3101
Calculate
x=3101
Simplify the root
More Steps

Evaluate
3101
To take a root of a fraction,take the root of the numerator and denominator separately
31031
Simplify the radical expression
3101
Multiply by the Conjugate
310×31023102
Simplify
310×31023100
Multiply the numbers
103100
x=103100
x=0x=103100
Solution
x1=0,x2=103100
Alternative Form
x1=0,x2≈0.464159
Show Solution
