Solve 3(2x^5)^2 23=38

Evaluate

3 (2 x^{5})^{2} \times 23 = 38

Multiply

More Steps

276 x^{10} = 38

Divide both sides

\frac{276 x ^{10}}{276} = \frac{38}{276}

Divide the numbers

x^{10} = \frac{38}{276}

Cancel out the common factor 2

x^{10} = \frac{19}{138}

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

x = \pm 10 \frac{19}{138}

Simplify the expression

More Steps

x = \pm \frac{10 19 \times 13 8 ^{9}}{138}

Separate the equation into 2 possible cases

x = \frac{10 19 \times 13 8 ^{9}}{138} x = - \frac{10 19 \times 13 8 ^{9}}{138}

Solution

x_{1} = - \frac{10 19 \times 13 8 ^{9}}{138}, x_{2} = \frac{10 19 \times 13 8 ^{9}}{138}

Alternative Form

x_{1} \approx - 0.820139, x_{2} \approx 0.820139

Solve the equation