Question
Simplify the expression
240x3−15
Evaluate
15x2×16x−15
Solution
More Steps

Evaluate
15x2×16x
Multiply the terms
240x2×x
Multiply the terms with the same base by adding their exponents
240x2+1
Add the numbers
240x3
240x3−15
Show Solution

Factor the expression
15(16x3−1)
Evaluate
15x2×16x−15
Multiply
More Steps

Evaluate
15x2×16x
Multiply the terms
240x2×x
Multiply the terms with the same base by adding their exponents
240x2+1
Add the numbers
240x3
240x3−15
Solution
15(16x3−1)
Show Solution

Find the roots
x=434
Alternative Form
x≈0.39685
Evaluate
15x2×16x−15
To find the roots of the expression,set the expression equal to 0
15x2×16x−15=0
Multiply
More Steps

Multiply the terms
15x2×16x
Multiply the terms
240x2×x
Multiply the terms with the same base by adding their exponents
240x2+1
Add the numbers
240x3
240x3−15=0
Move the constant to the right-hand side and change its sign
240x3=0+15
Removing 0 doesn't change the value,so remove it from the expression
240x3=15
Divide both sides
240240x3=24015
Divide the numbers
x3=24015
Cancel out the common factor 15
x3=161
Take the 3-th root on both sides of the equation
3x3=3161
Calculate
x=3161
Solution
More Steps

Evaluate
3161
To take a root of a fraction,take the root of the numerator and denominator separately
31631
Simplify the radical expression
3161
Simplify the radical expression
More Steps

Evaluate
316
Write the expression as a product where the root of one of the factors can be evaluated
38×2
Write the number in exponential form with the base of 2
323×2
The root of a product is equal to the product of the roots of each factor
323×32
Reduce the index of the radical and exponent with 3
232
2321
Multiply by the Conjugate
232×322322
Simplify
232×32234
Multiply the numbers
More Steps

Evaluate
232×322
Multiply the terms
2×2
Multiply the numbers
4
434
x=434
Alternative Form
x≈0.39685
Show Solution
