Solve -5x^(2) x-4

Question

Simplify the expression

- 5 x^{3} - 4

Evaluate

- 5 x^{2} \times x - 4

Solution

More Steps

Evaluate

- 5 x^{2} \times x

Multiply the terms with the same base by adding their exponents

- 5 x^{2 + 1}

Add the numbers

- 5 x^{3}

- 5 x^{3} - 4

Show Solution

x = - \frac{3 100}{5}

Alternative Form

x \approx - 0.928318

Evaluate

- 5 x^{2} \times x - 4

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

- 5 x^{2} \times x - 4 = 0

Multiply

More Steps

Multiply the terms

- 5 x^{2} \times x

Multiply the terms with the same base by adding their exponents

- 5 x^{2 + 1}

Add the numbers

- 5 x^{3}

- 5 x^{3} - 4 = 0

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

- 5 x^{3} = 0 + 4

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

- 5 x^{3} = 4

Change the signs on both sides of the equation

5 x^{3} = - 4

Divide both sides

\frac{5 x ^{3}}{5} = \frac{- 4}{5}

Divide the numbers

x^{3} = \frac{- 4}{5}

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

x^{3} = - \frac{4}{5}

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

3 x^{3} = 3 - \frac{4}{5}

Calculate

x = 3 - \frac{4}{5}

Solution

More Steps

Evaluate

3 - \frac{4}{5}

An odd root of a negative radicand is always a negative

- 3 \frac{4}{5}

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

- \frac{3 4}{3 5}

Multiply by the Conjugate

\frac{- 3 4 \times 3 5 ^{2}}{3 5 \times 3 5 ^{2}}

Simplify

\frac{- 3 4 \times 3 25}{3 5 \times 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

- 34 \times 325

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

- 3 4 \times 25

Calculate the product

- 3100

\frac{- 3 100}{3 5 \times 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 3 5^{2}

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

3 5 \times 5^{2}

Calculate the product

3 5^{3}

Reduce the index of the radical and exponent with 3

5

\frac{- 3 100}{5}

Calculate

- \frac{3 100}{5}

x = - \frac{3 100}{5}

Alternative Form

x \approx - 0.928318

Show Solution