Solve 2x^(2) 9x-3

Question

Simplify the expression

18 x^{3} - 3

Evaluate

2 x^{2} \times 9 x - 3

Solution

More Steps

Evaluate

2 x^{2} \times 9 x

Multiply the terms

18 x^{2} \times x

Multiply the terms with the same base by adding their exponents

18 x^{2 + 1}

Add the numbers

18 x^{3}

18 x^{3} - 3

Show Solution

Factor the expression

3 (6 x^{3} - 1)

Evaluate

2 x^{2} \times 9 x - 3

Multiply

More Steps

Evaluate

2 x^{2} \times 9 x

Multiply the terms

18 x^{2} \times x

Multiply the terms with the same base by adding their exponents

18 x^{2 + 1}

Add the numbers

18 x^{3}

18 x^{3} - 3

Solution

3 (6 x^{3} - 1)

Show Solution

Find the roots

x = \frac{3 36}{6}

Alternative Form

x \approx 0.550321

Evaluate

2 x^{2} \times 9 x - 3

To find the roots of the expression,set the expression equal to 0

2 x^{2} \times 9 x - 3 = 0

Multiply

More Steps

Multiply the terms

2 x^{2} \times 9 x

Multiply the terms

18 x^{2} \times x

Multiply the terms with the same base by adding their exponents

18 x^{2 + 1}

Add the numbers

18 x^{3}

18 x^{3} - 3 = 0

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

18 x^{3} = 0 + 3

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

18 x^{3} = 3

Divide both sides

\frac{18 x ^{3}}{18} = \frac{3}{18}

Divide the numbers

x^{3} = \frac{3}{18}

Cancel out the common factor 3

x^{3} = \frac{1}{6}

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

3 x^{3} = 3 \frac{1}{6}

Calculate

x = 3 \frac{1}{6}

Solution

More Steps

Evaluate

3 \frac{1}{6}

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

\frac{3 1}{3 6}

Simplify the radical expression

\frac{1}{3 6}

Multiply by the Conjugate

\frac{3 6 ^{2}}{3 6 \times 3 6 ^{2}}

Simplify

\frac{3 36}{3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

36 \times 3 6^{2}

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

3 6 \times 6^{2}

Calculate the product

3 6^{3}

Reduce the index of the radical and exponent with 3

6

\frac{3 36}{6}

x = \frac{3 36}{6}

Alternative Form

x \approx 0.550321

Show Solution