Solve 33x^33-3333

Question

Simplify the expression

99 x^{3} - 3333

Evaluate

33 x^{3} \times 3 - 3333

Solution

99 x^{3} - 3333

Show Solution

33 (3 x^{3} - 101)

Evaluate

33 x^{3} \times 3 - 3333

Multiply the terms

99 x^{3} - 3333

Solution

33 (3 x^{3} - 101)

Show Solution

x = \frac{3 909}{3}

Alternative Form

x \approx 3.22899

Evaluate

33 x^{3} \times 3 - 3333

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

33 x^{3} \times 3 - 3333 = 0

Multiply the terms

99 x^{3} - 3333 = 0

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

99 x^{3} = 0 + 3333

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

99 x^{3} = 3333

Divide both sides

\frac{99 x ^{3}}{99} = \frac{3333}{99}

Divide the numbers

x^{3} = \frac{3333}{99}

Cancel out the common factor 33

x^{3} = \frac{101}{3}

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

3 x^{3} = 3 \frac{101}{3}

Calculate

x = 3 \frac{101}{3}

Solution

More Steps

Evaluate

3 \frac{101}{3}

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

\frac{3 101}{3 3}

Multiply by the Conjugate

\frac{3 101 \times 3 3 ^{2}}{3 3 \times 3 3 ^{2}}

Simplify

\frac{3 101 \times 3 9}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

3101 \times 39

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

3 101 \times 9

Calculate the product

3909

\frac{3 909}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 3 3^{2}

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

3 3 \times 3^{2}

Calculate the product

3 3^{3}

Reduce the index of the radical and exponent with 3

3

\frac{3 909}{3}

x = \frac{3 909}{3}

Alternative Form

x \approx 3.22899

Show Solution