Solve 6x^2 3x - 4x -2 * x - 4

Question

Simplify the expression

18 x^{3} - 6 x - 4

Evaluate

6 x^{2} \times 3 x - 4 x - 2 x - 4

Multiply

More Steps

Multiply the terms

6 x^{2} \times 3 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} - 4 x - 2 x - 4

Solution

More Steps

Evaluate

- 4 x - 2 x

Collect like terms by calculating the sum or difference of their coefficients

(- 4 - 2) x

Subtract the numbers

- 6 x

18 x^{3} - 6 x - 4

Show Solution

Factor the expression

2 (9 x^{3} - 3 x - 2)

Evaluate

6 x^{2} \times 3 x - 4 x - 2 x - 4

Multiply

More Steps

Multiply the terms

6 x^{2} \times 3 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} - 4 x - 2 x - 4

Subtract the terms

More Steps

Simplify

18 x^{3} - 4 x - 2 x

Subtract the terms

More Steps

Evaluate

- 4 x - 2 x

Collect like terms by calculating the sum or difference of their coefficients

(- 4 - 2) x

Subtract the numbers

- 6 x

18 x^{3} - 6 x

18 x^{3} - 6 x - 4

Solution

2 (9 x^{3} - 3 x - 2)

Show Solution

Find the roots

x \approx 0.7851

Evaluate

6 x^{2} \times 3 x - 4 x - 2 x - 4

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

6 x^{2} \times 3 x - 4 x - 2 x - 4 = 0

Multiply

More Steps

Multiply the terms

6 x^{2} \times 3 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} - 4 x - 2 x - 4 = 0

Subtract the terms

More Steps

Simplify

18 x^{3} - 4 x - 2 x

Subtract the terms

More Steps

Evaluate

- 4 x - 2 x

Collect like terms by calculating the sum or difference of their coefficients

(- 4 - 2) x

Subtract the numbers

- 6 x

18 x^{3} - 6 x

18 x^{3} - 6 x - 4 = 0

Factor the expression

2 (9 x^{3} - 3 x - 2) = 0

Divide both sides

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

Solution

x \approx 0.7851

Show Solution