Question
Simplify the expression
30−900x3
Evaluate
30−30x3×30
Solution
30−900x3
Show Solution

Factor the expression
30(1−30x3)
Evaluate
30−30x3×30
Multiply the terms
30−900x3
Solution
30(1−30x3)
Show Solution

Find the roots
x=303900
Alternative Form
x≈0.32183
Evaluate
30−30x3×30
To find the roots of the expression,set the expression equal to 0
30−30x3×30=0
Multiply the terms
30−900x3=0
Move the constant to the right-hand side and change its sign
−900x3=0−30
Removing 0 doesn't change the value,so remove it from the expression
−900x3=−30
Change the signs on both sides of the equation
900x3=30
Divide both sides
900900x3=90030
Divide the numbers
x3=90030
Cancel out the common factor 30
x3=301
Take the 3-th root on both sides of the equation
3x3=3301
Calculate
x=3301
Solution
More Steps

Evaluate
3301
To take a root of a fraction,take the root of the numerator and denominator separately
33031
Simplify the radical expression
3301
Multiply by the Conjugate
330×33023302
Simplify
330×33023900
Multiply the numbers
More Steps

Evaluate
330×3302
The product of roots with the same index is equal to the root of the product
330×302
Calculate the product
3303
Reduce the index of the radical and exponent with 3
30
303900
x=303900
Alternative Form
x≈0.32183
Show Solution
