Solve 1/5(15-10x^5)=2x^5

Question

Solve the equation

x = \frac{5 24}{2}

Alternative Form

x \approx 0.944088

Evaluate

\frac{1}{5} (15 - 10 x^{5}) = 2 x^{5}

Multiply the terms

More Steps

3 - 2 x^{5} = 2 x^{5}

Move the expression to the left side

3 - 2 x^{5} - 2 x^{5} = 0

Subtract the terms

More Steps

3 - 4 x^{5} = 0

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

- 4 x^{5} = 0 - 3

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

- 4 x^{5} = - 3

Change the signs on both sides of the equation

4 x^{5} = 3

Divide both sides

\frac{4 x ^{5}}{4} = \frac{3}{4}

Divide the numbers

x^{5} = \frac{3}{4}

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

5 x^{5} = 5 \frac{3}{4}

Calculate

x = 5 \frac{3}{4}

Solution

More Steps

x = \frac{5 24}{2}

Alternative Form

x \approx 0.944088

Show Solution