Solve 180 = 3x^304x^31

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Type your math problem... 180 = 3x^304x^31

Question

Solve the equation

x_{1} = - 615, x_{2} = 615

Alternative Form

x_{1} \approx - 1.570418, x_{2} \approx 1.570418

Evaluate

180 = 3 x^{3} \times 4 x^{3} \times 1

Multiply the terms

More Steps

Evaluate

3 x^{3} \times 4 x^{3} \times 1

Rewrite the expression

3 x^{3} \times 4 x^{3}

Multiply the terms

12 x^{3} \times x^{3}

Multiply the terms with the same base by adding their exponents

12 x^{3 + 3}

Add the numbers

12 x^{6}

180 = 12 x^{6}

Swap the sides of the equation

12 x^{6} = 180

Divide both sides

\frac{12 x ^{6}}{12} = \frac{180}{12}

Divide the numbers

x^{6} = \frac{180}{12}

Divide the numbers

More Steps

Evaluate

\frac{180}{12}

Reduce the numbers

\frac{15}{1}

Calculate

15

x^{6} = 15

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

x = \pm 615

Separate the equation into 2 possible cases

x = 615 x = - 615

Solution

x_{1} = - 615, x_{2} = 615

Alternative Form

x_{1} \approx - 1.570418, x_{2} \approx 1.570418

Show Solution

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