Solve 33x^3333-330

Question

Simplify the expression

10989 x^{3} - 330

Evaluate

33 x^{3} \times 333 - 330

Solution

10989 x^{3} - 330

Show Solution

33 (333 x^{3} - 10)

Evaluate

33 x^{3} \times 333 - 330

Multiply the terms

10989 x^{3} - 330

Solution

33 (333 x^{3} - 10)

Show Solution

x = \frac{3 10 \times 33 3 ^{2}}{333}

Alternative Form

x \approx 0.310827

Evaluate

33 x^{3} \times 333 - 330

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

33 x^{3} \times 333 - 330 = 0

Multiply the terms

10989 x^{3} - 330 = 0

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

10989 x^{3} = 0 + 330

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

10989 x^{3} = 330

Divide both sides

\frac{10989 x ^{3}}{10989} = \frac{330}{10989}

Divide the numbers

x^{3} = \frac{330}{10989}

Cancel out the common factor 33

x^{3} = \frac{10}{333}

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

3 x^{3} = 3 \frac{10}{333}

Calculate

x = 3 \frac{10}{333}

Solution

More Steps

Evaluate

3 \frac{10}{333}

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

\frac{3 10}{3 333}

Multiply by the Conjugate

\frac{3 10 \times 3 33 3 ^{2}}{3 333 \times 3 33 3 ^{2}}

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

\frac{3 10 \times 33 3 ^{2}}{3 333 \times 3 33 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

3333 \times 3 33 3^{2}

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

3 333 \times 33 3^{2}

Calculate the product

3 33 3^{3}

Reduce the index of the radical and exponent with 3

333

\frac{3 10 \times 33 3 ^{2}}{333}

x = \frac{3 10 \times 33 3 ^{2}}{333}

Alternative Form

x \approx 0.310827

Show Solution