Solve 30-30x^3030

Question

Simplify the expression

30 - 900 x^{3}

Evaluate

30 - 30 x^{3} \times 30

Solution

30 - 900 x^{3}

Show Solution

30 (1 - 30 x^{3})

Evaluate

30 - 30 x^{3} \times 30

Multiply the terms

30 - 900 x^{3}

Solution

30 (1 - 30 x^{3})

Show Solution

x = \frac{3 900}{30}

Alternative Form

x \approx 0.32183

Evaluate

30 - 30 x^{3} \times 30

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

30 - 30 x^{3} \times 30 = 0

Multiply the terms

30 - 900 x^{3} = 0

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

- 900 x^{3} = 0 - 30

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

- 900 x^{3} = - 30

Change the signs on both sides of the equation

900 x^{3} = 30

Divide both sides

\frac{900 x ^{3}}{900} = \frac{30}{900}

Divide the numbers

x^{3} = \frac{30}{900}

Cancel out the common factor 30

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