Solve 5x^2x=80 - ScanMath

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Type your math problem... 5x^2x=80

Question

Solve the equation

x = 232

Alternative Form

x \approx 2.519842

Evaluate

5 x^{2} \times x = 80

Multiply

More Steps

Evaluate

5 x^{2} \times x

Multiply the terms with the same base by adding their exponents

5 x^{2 + 1}

Add the numbers

5 x^{3}

5 x^{3} = 80

Divide both sides

\frac{5 x ^{3}}{5} = \frac{80}{5}

Divide the numbers

x^{3} = \frac{80}{5}

Divide the numbers

More Steps

Evaluate

\frac{80}{5}

Reduce the numbers

\frac{16}{1}

Calculate

16

x^{3} = 16

Take the 3 -th root on both sides of the equation

3 x^{3} = 316

Calculate

x = 316

Solution

More Steps

Evaluate

316

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 2

Write the number in exponential form with the base of 2

3 2^{3} \times 2

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 32

Reduce the index of the radical and exponent with 3

232

x = 232

Alternative Form

x \approx 2.519842

Show Solution

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