Solve 2/7 =5/8x^4/7

Evaluate

\frac{2}{7} = \frac{5}{8} \times \frac{x ^{4}}{7}

Multiply the terms

More Steps

\frac{2}{7} = \frac{5 x ^{4}}{56}

Swap the sides of the equation

\frac{5 x ^{4}}{56} = \frac{2}{7}

Multiply both sides of the equation by 56

\frac{5 x ^{4}}{56} \times 56 = \frac{2}{7} \times 56

Multiply the terms

5 x^{4} = \frac{2 \times 56}{7}

Divide the terms

5 x^{4} = 16

Divide both sides

\frac{5 x ^{4}}{5} = \frac{16}{5}

Divide the numbers

x^{4} = \frac{16}{5}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 4 \frac{16}{5}

Simplify the expression

More Steps

x = \pm \frac{2 4 125}{5}

Separate the equation into 2 possible cases

x = \frac{2 4 125}{5} x = - \frac{2 4 125}{5}

Solution

x_{1} = - \frac{2 4 125}{5}, x_{2} = \frac{2 4 125}{5}

Alternative Form

x_{1} \approx - 1.337481, x_{2} \approx 1.337481

Solve the equation