Solve -2(4x^5) 23-4

Question

Simplify the expression

- 184 x^{5} - 4

Evaluate

- 2 \times 4 x^{5} \times 23 - 4

Solution

More Steps

Evaluate

2 \times 4 \times 23

Multiply the terms

8 \times 23

Multiply the numbers

184

- 184 x^{5} - 4

Show Solution

Factor the expression

- 4 (46 x^{5} + 1)

Evaluate

- 2 \times 4 x^{5} \times 23 - 4

Multiply the terms

More Steps

Evaluate

2 \times 4 \times 23

Multiply the terms

8 \times 23

Multiply the numbers

184

- 184 x^{5} - 4

Solution

- 4 (46 x^{5} + 1)

Show Solution

Find the roots

x = - \frac{5 4 6 ^{4}}{46}

Alternative Form

x \approx - 0.464995

Evaluate

- 2 (4 x^{5}) \times 23 - 4

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

- 2 (4 x^{5}) \times 23 - 4 = 0

Multiply the terms

- 2 \times 4 x^{5} \times 23 - 4 = 0

Multiply the terms

More Steps

Multiply the terms

- 2 \times 4 x^{5} \times 23

Multiply the terms

More Steps

Evaluate

2 \times 4 \times 23

Multiply the terms

8 \times 23

Multiply the numbers

184

- 184 x^{5}

- 184 x^{5} - 4 = 0

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

- 184 x^{5} = 0 + 4

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

- 184 x^{5} = 4

Change the signs on both sides of the equation

184 x^{5} = - 4

Divide both sides

\frac{184 x ^{5}}{184} = \frac{- 4}{184}

Divide the numbers

x^{5} = \frac{- 4}{184}

Divide the numbers

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Evaluate

\frac{- 4}{184}

Cancel out the common factor 4

\frac{- 1}{46}

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

- \frac{1}{46}

x^{5} = - \frac{1}{46}

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

5 x^{5} = 5 - \frac{1}{46}

Calculate

x = 5 - \frac{1}{46}

Solution

More Steps

Evaluate

5 - \frac{1}{46}

An odd root of a negative radicand is always a negative

- 5 \frac{1}{46}

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

- \frac{5 1}{5 46}

Simplify the radical expression

- \frac{1}{5 46}

Multiply by the Conjugate

\frac{- 5 4 6 ^{4}}{5 46 \times 5 4 6 ^{4}}

Multiply the numbers

More Steps

Evaluate

546 \times 5 4 6^{4}

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

5 46 \times 4 6^{4}

Calculate the product

5 4 6^{5}

Reduce the index of the radical and exponent with 5

46

\frac{- 5 4 6 ^{4}}{46}

Calculate

- \frac{5 4 6 ^{4}}{46}

x = - \frac{5 4 6 ^{4}}{46}

Alternative Form

x \approx - 0.464995

Show Solution