Question
Simplify the expression
500x3−30
Evaluate
20x2×25x−30
Solution
More Steps

Evaluate
20x2×25x
Multiply the terms
500x2×x
Multiply the terms with the same base by adding their exponents
500x2+1
Add the numbers
500x3
500x3−30
Show Solution

Factor the expression
10(50x3−3)
Evaluate
20x2×25x−30
Multiply
More Steps

Evaluate
20x2×25x
Multiply the terms
500x2×x
Multiply the terms with the same base by adding their exponents
500x2+1
Add the numbers
500x3
500x3−30
Solution
10(50x3−3)
Show Solution

Find the roots
x=10360
Alternative Form
x≈0.391487
Evaluate
20x2×25x−30
To find the roots of the expression,set the expression equal to 0
20x2×25x−30=0
Multiply
More Steps

Multiply the terms
20x2×25x
Multiply the terms
500x2×x
Multiply the terms with the same base by adding their exponents
500x2+1
Add the numbers
500x3
500x3−30=0
Move the constant to the right-hand side and change its sign
500x3=0+30
Removing 0 doesn't change the value,so remove it from the expression
500x3=30
Divide both sides
500500x3=50030
Divide the numbers
x3=50030
Cancel out the common factor 10
x3=503
Take the 3-th root on both sides of the equation
3x3=3503
Calculate
x=3503
Solution
More Steps

Evaluate
3503
To take a root of a fraction,take the root of the numerator and denominator separately
35033
Multiply by the Conjugate
350×350233×3502
Simplify
350×350233×5320
Multiply the numbers
More Steps

Evaluate
33×5320
Multiply the terms
360×5
Use the commutative property to reorder the terms
5360
350×35025360
Multiply the numbers
More Steps

Evaluate
350×3502
The product of roots with the same index is equal to the root of the product
350×502
Calculate the product
3503
Reduce the index of the radical and exponent with 3
50
505360
Cancel out the common factor 5
10360
x=10360
Alternative Form
x≈0.391487
Show Solution
