Solve -2x^34 = 25

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Type your math problem... -2x^34 = 25

Question

Solve the equation

x = - \frac{3 25}{2}

Alternative Form

x \approx - 1.462009

Evaluate

- 2 x^{3} \times 4 = 25

Multiply the terms

- 8 x^{3} = 25

Change the signs on both sides of the equation

8 x^{3} = - 25

Divide both sides

\frac{8 x ^{3}}{8} = \frac{- 25}{8}

Divide the numbers

x^{3} = \frac{- 25}{8}

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

x^{3} = - \frac{25}{8}

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

3 x^{3} = 3 - \frac{25}{8}

Calculate

x = 3 - \frac{25}{8}

Solution

More Steps

Evaluate

3 - \frac{25}{8}

An odd root of a negative radicand is always a negative

- 3 \frac{25}{8}

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

- \frac{3 25}{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 25}{2}

x = - \frac{3 25}{2}

Alternative Form

x \approx - 1.462009

Show Solution

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