Solve -3x^3^-2 - ScanMath

Question

Factor the expression

- (3 x^{3} + 2)

Evaluate

- 3 x^{3} - 2

Solution

- (3 x^{3} + 2)

Show Solution

x = - \frac{3 18}{3}

Alternative Form

x \approx - 0.87358

Evaluate

- 3 x^{3} - 2

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

- 3 x^{3} - 2 = 0

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

- 3 x^{3} = 0 + 2

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

- 3 x^{3} = 2

Change the signs on both sides of the equation

3 x^{3} = - 2

Divide both sides

\frac{3 x ^{3}}{3} = \frac{- 2}{3}

Divide the numbers

x^{3} = \frac{- 2}{3}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x^{3} = - \frac{2}{3}

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

3 x^{3} = 3 - \frac{2}{3}

Calculate

x = 3 - \frac{2}{3}

Solution

More Steps

Evaluate

3 - \frac{2}{3}

An odd root of a negative radicand is always a negative

- 3 \frac{2}{3}

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

- \frac{3 2}{3 3}

Multiply by the Conjugate

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

Simplify

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

Multiply the numbers

More Steps

Evaluate

- 32 \times 39

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

- 3 2 \times 9

Calculate the product

- 318

\frac{- 3 18}{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 18}{3}

Calculate

- \frac{3 18}{3}

x = - \frac{3 18}{3}

Alternative Form

x \approx - 0.87358

Show Solution