Solve 16-(24x^3) 20

Question

Simplify the expression

16 - 480 x^{3}

Evaluate

16 - 24 x^{3} \times 20

Solution

16 - 480 x^{3}

Show Solution

16 (1 - 30 x^{3})

Evaluate

16 - 24 x^{3} \times 20

Multiply the numbers

More Steps

Evaluate

24 \times 20

Multiply the numbers

480

Evaluate

480 x^{3}

16 - 480 x^{3}

Solution

16 (1 - 30 x^{3})

Show Solution

x = \frac{3 900}{30}

Alternative Form

x \approx 0.32183

Evaluate

16 - (24 x^{3}) \times 20

To find the roots of the expression,set the expression equal to 0

16 - (24 x^{3}) \times 20 = 0

Multiply the terms

16 - 24 x^{3} \times 20 = 0

Multiply the numbers

16 - 480 x^{3} = 0

Move the constant to the right-hand side and change its sign

- 480 x^{3} = 0 - 16

Removing 0 doesn't change the value,so remove it from the expression

- 480 x^{3} = - 16

Change the signs on both sides of the equation

480 x^{3} = 16

Divide both sides

\frac{480 x ^{3}}{480} = \frac{16}{480}

Divide the numbers

x^{3} = \frac{16}{480}

Cancel out the common factor 16

x^{3} = \frac{1}{30}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{1}{30}

Calculate

x = 3 \frac{1}{30}

Solution

More Steps

Evaluate

3 \frac{1}{30}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 1}{3 30}

Simplify the radical expression

\frac{1}{3 30}

Multiply by the Conjugate

\frac{3 3 0 ^{2}}{3 30 \times 3 3 0 ^{2}}

Simplify

\frac{3 900}{3 30 \times 3 3 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

330 \times 3 3 0^{2}

The product of roots with the same index is equal to the root of the product

3 30 \times 3 0^{2}

Calculate the product

3 3 0^{3}

Reduce the index of the radical and exponent with 3

30

\frac{3 900}{30}

x = \frac{3 900}{30}

Alternative Form

x \approx 0.32183

Show Solution