Solve -3x^28x - 4

Question

- 3 x^{2} \times 8 x - 4

Simplify the expression

- 24 x^{3} - 4

Evaluate

- 3 x^{2} \times 8 x - 4

Solution

More Steps

Evaluate

- 3 x^{2} \times 8 x

Multiply the terms

- 24 x^{2} \times x

Multiply the terms with the same base by adding their exponents

- 24 x^{2 + 1}

Add the numbers

- 24 x^{3}

- 24 x^{3} - 4

Show Solution

Factor the expression

- 4 (6 x^{3} + 1)

Evaluate

- 3 x^{2} \times 8 x - 4

Multiply

More Steps

Evaluate

- 3 x^{2} \times 8 x

Multiply the terms

- 24 x^{2} \times x

Multiply the terms with the same base by adding their exponents

- 24 x^{2 + 1}

Add the numbers

- 24 x^{3}

- 24 x^{3} - 4

Solution

- 4 (6 x^{3} + 1)

Show Solution

Find the roots

x = - \frac{3 36}{6}

Alternative Form

x \approx - 0.550321

Evaluate

- 3 x^{2} \times 8 x - 4

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

- 3 x^{2} \times 8 x - 4 = 0

Multiply

More Steps

Multiply the terms

- 3 x^{2} \times 8 x

Multiply the terms

- 24 x^{2} \times x

Multiply the terms with the same base by adding their exponents

- 24 x^{2 + 1}

Add the numbers

- 24 x^{3}

- 24 x^{3} - 4 = 0

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

- 24 x^{3} = 0 + 4

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

- 24 x^{3} = 4

Change the signs on both sides of the equation

24 x^{3} = - 4

Divide both sides

\frac{24 x ^{3}}{24} = \frac{- 4}{24}

Divide the numbers

x^{3} = \frac{- 4}{24}

Divide the numbers

More Steps

Evaluate

\frac{- 4}{24}

Cancel out the common factor 4

\frac{- 1}{6}

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

- \frac{1}{6}

x^{3} = - \frac{1}{6}

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

3 x^{3} = 3 - \frac{1}{6}

Calculate

x = 3 - \frac{1}{6}

Solution

More Steps

Evaluate

3 - \frac{1}{6}

An odd root of a negative radicand is always a negative

- 3 \frac{1}{6}

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

- \frac{3 1}{3 6}

Simplify the radical expression

- \frac{1}{3 6}

Multiply by the Conjugate

\frac{- 3 6 ^{2}}{3 6 \times 3 6 ^{2}}

Simplify

\frac{- 3 36}{3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

36 \times 3 6^{2}

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

3 6 \times 6^{2}

Calculate the product

3 6^{3}

Reduce the index of the radical and exponent with 3

6

\frac{- 3 36}{6}

Calculate

- \frac{3 36}{6}

x = - \frac{3 36}{6}

Alternative Form

x \approx - 0.550321

Show Solution