Solve 10x^233x-7=0

Question

Solve the equation

x = \frac{3 7 \times 33 0 ^{2}}{330}

Alternative Form

x \approx 0.276818

Evaluate

10 x^{2} \times 33 x - 7 = 0

Multiply

More Steps

Evaluate

10 x^{2} \times 33 x

Multiply the terms

330 x^{2} \times x

Multiply the terms with the same base by adding their exponents

330 x^{2 + 1}

Add the numbers

330 x^{3}

330 x^{3} - 7 = 0

Move the constant to the right-hand side and change its sign

330 x^{3} = 0 + 7

Removing 0 doesn't change the value,so remove it from the expression

330 x^{3} = 7

Divide both sides

\frac{330 x ^{3}}{330} = \frac{7}{330}

Divide the numbers

x^{3} = \frac{7}{330}

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

3 x^{3} = 3 \frac{7}{330}

Calculate

x = 3 \frac{7}{330}

Solution

More Steps

Evaluate

3 \frac{7}{330}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 7}{3 330}

Multiply by the Conjugate

\frac{3 7 \times 3 33 0 ^{2}}{3 330 \times 3 33 0 ^{2}}

The product of roots with the same index is equal to the root of the product

\frac{3 7 \times 33 0 ^{2}}{3 330 \times 3 33 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

3330 \times 3 33 0^{2}

The product of roots with the same index is equal to the root of the product

3 330 \times 33 0^{2}

Calculate the product

3 33 0^{3}

Reduce the index of the radical and exponent with 3

330

\frac{3 7 \times 33 0 ^{2}}{330}

x = \frac{3 7 \times 33 0 ^{2}}{330}

Alternative Form

x \approx 0.276818

Show Solution