Solve -x^2 8x - 3

Question

Simplify the expression

- 8 x^{3} - 3

Evaluate

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

Solution

More Steps

Evaluate

- x^{2} \times 8 x

Multiply the terms with the same base by adding their exponents

- x^{2 + 1} \times 8

Add the numbers

- x^{3} \times 8

Use the commutative property to reorder the terms

- 8 x^{3}

- 8 x^{3} - 3

Show Solution

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

Alternative Form

x \approx - 0.721125

Evaluate

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

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

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

Multiply

More Steps

Multiply the terms

x^{2} \times 8 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 8

Add the numbers

x^{3} \times 8

Use the commutative property to reorder the terms

8 x^{3}

- 8 x^{3} - 3 = 0

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

- 8 x^{3} = 0 + 3

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

- 8 x^{3} = 3

Change the signs on both sides of the equation

8 x^{3} = - 3

Divide both sides

\frac{8 x ^{3}}{8} = \frac{- 3}{8}

Divide the numbers

x^{3} = \frac{- 3}{8}

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

x^{3} = - \frac{3}{8}

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

3 x^{3} = 3 - \frac{3}{8}

Calculate

x = 3 - \frac{3}{8}

Solution

More Steps

Evaluate

3 - \frac{3}{8}

An odd root of a negative radicand is always a negative

- 3 \frac{3}{8}

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

- \frac{3 3}{3 8}

Simplify the radical expression

More Steps

Evaluate

38

Write the number in exponential form with the base of 2

3 2^{3}

Reduce the index of the radical and exponent with 3

2

- \frac{3 3}{2}

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

Alternative Form

x \approx - 0.721125

Show Solution