Solve x: 2x^5 = 15

Evaluate

x \div 2 x^{5} = 15

Find the domain

More Steps

x \div 2 x^{5} = 15, x \neq = 0

Divide the terms

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\frac{1}{2 x ^{4}} = 15

Cross multiply

1 = 2 x^{4} \times 15

Simplify the equation

1 = 30 x^{4}

Swap the sides of the equation

30 x^{4} = 1

Divide both sides

\frac{30 x ^{4}}{30} = \frac{1}{30}

Divide the numbers

x^{4} = \frac{1}{30}

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

x = \pm 4 \frac{1}{30}

Simplify the expression

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x = \pm \frac{4 27000}{30}

Separate the equation into 2 possible cases

x = \frac{4 27000}{30} x = - \frac{4 27000}{30}

Check if the solution is in the defined range

x = \frac{4 27000}{30} x = - \frac{4 27000}{30}, x \neq = 0

Find the intersection of the solution and the defined range

x = \frac{4 27000}{30} x = - \frac{4 27000}{30}

Solution

x_{1} = - \frac{4 27000}{30}, x_{2} = \frac{4 27000}{30}

Alternative Form

x_{1} \approx - 0.427287, x_{2} \approx 0.427287

X: 2x^5 = 15