Solve (-3)*x^59*8 -(-40) : 5

Question

Simplify the expression

- 216 x^{5} + 8

Evaluate

(- 3) x^{5} \times 9 \times 8 - (- 40) \div 5

Remove the parentheses

- 3 x^{5} \times 9 \times 8 - (- 40) \div 5

Multiply the terms

More Steps

Multiply the terms

- 3 x^{5} \times 9 \times 8

Multiply the terms

More Steps

Evaluate

3 \times 9 \times 8

Multiply the terms

27 \times 8

Multiply the numbers

216

- 216 x^{5}

- 216 x^{5} - (- 40) \div 5

Divide the numbers

- 216 x^{5} - (- 8)

Solution

- 216 x^{5} + 8

Show Solution

Factor the expression

- 8 (27 x^{5} - 1)

Evaluate

(- 3) x^{5} \times 9 \times 8 - (- 40) \div 5

Remove the parentheses

- 3 x^{5} \times 9 \times 8 - (- 40) \div 5

Multiply the terms

More Steps

Multiply the terms

- 3 x^{5} \times 9 \times 8

Multiply the terms

More Steps

Evaluate

3 \times 9 \times 8

Multiply the terms

27 \times 8

Multiply the numbers

216

- 216 x^{5}

- 216 x^{5} - (- 40) \div 5

Divide the numbers

- 216 x^{5} - (- 8)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 216 x^{5} + 8

Solution

- 8 (27 x^{5} - 1)

Show Solution

Find the roots

x = \frac{5 9}{3}

Alternative Form

x \approx 0.517282

Evaluate

(- 3) x^{5} \times 9 \times 8 - (- 40) \div 5

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

(- 3) x^{5} \times 9 \times 8 - (- 40) \div 5 = 0

Remove the parentheses

- 3 x^{5} \times 9 \times 8 - (- 40) \div 5 = 0

Multiply the terms

More Steps

Multiply the terms

- 3 x^{5} \times 9 \times 8

Multiply the terms

More Steps

Evaluate

3 \times 9 \times 8

Multiply the terms

27 \times 8

Multiply the numbers

216

- 216 x^{5}

- 216 x^{5} - (- 40) \div 5 = 0

Divide the numbers

- 216 x^{5} - (- 8) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 216 x^{5} + 8 = 0

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

- 216 x^{5} = 0 - 8

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

- 216 x^{5} = - 8

Change the signs on both sides of the equation

216 x^{5} = 8

Divide both sides

\frac{216 x ^{5}}{216} = \frac{8}{216}

Divide the numbers

x^{5} = \frac{8}{216}

Cancel out the common factor 8

x^{5} = \frac{1}{27}

Take the 5 -th root on both sides of the equation

5 x^{5} = 5 \frac{1}{27}

Calculate

x = 5 \frac{1}{27}

Solution

More Steps

Evaluate

5 \frac{1}{27}

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

\frac{5 1}{5 27}

Simplify the radical expression

\frac{1}{5 27}

Multiply by the Conjugate

\frac{5 2 7 ^{4}}{5 27 \times 5 2 7 ^{4}}

Simplify

\frac{3 ^{2} 5 9}{5 27 \times 5 2 7 ^{4}}

Multiply the numbers

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Evaluate

527 \times 5 2 7^{4}

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

5 27 \times 2 7^{4}

Calculate the product

5 2 7^{5}

Transform the expression

5 3^{15}

Reduce the index of the radical and exponent with 5

3^{3}

\frac{3 ^{2} 5 9}{3 ^{3}}

Reduce the fraction

More Steps

Evaluate

\frac{3 ^{2}}{3 ^{3}}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{1}{3 ^{3 - 2}}

Subtract the terms

\frac{1}{3 ^{1}}

Simplify

\frac{1}{3}

\frac{5 9}{3}

x = \frac{5 9}{3}

Alternative Form

x \approx 0.517282

Show Solution