Solve 3/4x^5/4=-(7/4)

Evaluate

\frac{3}{4} \times \frac{x ^{5}}{4} = - \frac{7}{4}

Multiply the terms

More Steps

\frac{3 x ^{5}}{16} = - \frac{7}{4}

Rewrite the expression

\frac{3 x ^{5}}{16} = \frac{- 7}{4}

Multiply both sides of the equation by 16

\frac{3 x ^{5}}{16} \times 16 = \frac{- 7}{4} \times 16

Multiply the terms

3 x^{5} = \frac{- 7 \times 16}{4}

Divide the terms

3 x^{5} = - 28

Divide both sides

\frac{3 x ^{5}}{3} = \frac{- 28}{3}

Divide the numbers

x^{5} = \frac{- 28}{3}

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

x^{5} = - \frac{28}{3}

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

5 x^{5} = 5 - \frac{28}{3}

Calculate

x = 5 - \frac{28}{3}

Solution

More Steps

x = - \frac{5 2268}{3}

Alternative Form

x \approx - 1.563174

Solve the equation