Solve 2x^(2) 10x-6=0

Question

Solve the equation

x = \frac{3 300}{10}

Alternative Form

x \approx 0.669433

Evaluate

2 x^{2} \times 10 x - 6 = 0

Multiply

More Steps

Evaluate

2 x^{2} \times 10 x

Multiply the terms

20 x^{2} \times x

Multiply the terms with the same base by adding their exponents

20 x^{2 + 1}

Add the numbers

20 x^{3}

20 x^{3} - 6 = 0

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

20 x^{3} = 0 + 6

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

20 x^{3} = 6

Divide both sides

\frac{20 x ^{3}}{20} = \frac{6}{20}

Divide the numbers

x^{3} = \frac{6}{20}

Cancel out the common factor 2

x^{3} = \frac{3}{10}

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

3 x^{3} = 3 \frac{3}{10}

Calculate

x = 3 \frac{3}{10}

Solution

More Steps

Evaluate

3 \frac{3}{10}

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

\frac{3 3}{3 10}

Multiply by the Conjugate

\frac{3 3 \times 3 1 0 ^{2}}{3 10 \times 3 1 0 ^{2}}

Simplify

\frac{3 3 \times 3 100}{3 10 \times 3 1 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 3100

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

3 3 \times 100

Calculate the product

3300

\frac{3 300}{3 10 \times 3 1 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

310 \times 3 1 0^{2}

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

3 10 \times 1 0^{2}

Calculate the product

3 1 0^{3}

Reduce the index of the radical and exponent with 3

10

\frac{3 300}{10}

x = \frac{3 300}{10}

Alternative Form

x \approx 0.669433

Show Solution