Solve (-4x^2 9x)-(6x^2-4x-2)

Question

Simplify the expression

- 36 x^{3} - 6 x^{2} + 4 x + 2

Evaluate

(- 4 x^{2} \times 9 x) - (6 x^{2} - 4 x - 2)

Multiply

More Steps

Multiply the terms

- 4 x^{2} \times 9 x

Multiply the terms

- 36 x^{2} \times x

Multiply the terms with the same base by adding their exponents

- 36 x^{2 + 1}

Add the numbers

- 36 x^{3}

(- 36 x^{3}) - (6 x^{2} - 4 x - 2)

Remove the parentheses

- 36 x^{3} - (6 x^{2} - 4 x - 2)

Solution

- 36 x^{3} - 6 x^{2} + 4 x + 2

Show Solution

Factor the expression

- 2 (18 x^{3} + 3 x^{2} - 2 x - 1)

Evaluate

(- 4 x^{2} \times 9 x) - (6 x^{2} - 4 x - 2)

Multiply

More Steps

Multiply the terms

- 4 x^{2} \times 9 x

Multiply the terms

- 36 x^{2} \times x

Multiply the terms with the same base by adding their exponents

- 36 x^{2 + 1}

Add the numbers

- 36 x^{3}

- 36 x^{3} - (6 x^{2} - 4 x - 2)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 36 x^{3} - 6 x^{2} + 4 x + 2

Solution

- 2 (18 x^{3} + 3 x^{2} - 2 x - 1)

Show Solution

Find the roots

x \approx 0.417719

Evaluate

(- 4 x^{2} \times 9 x) - (6 x^{2} - 4 x - 2)

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

(- 4 x^{2} \times 9 x) - (6 x^{2} - 4 x - 2) = 0

Multiply

More Steps

Multiply the terms

- 4 x^{2} \times 9 x

Multiply the terms

- 36 x^{2} \times x

Multiply the terms with the same base by adding their exponents

- 36 x^{2 + 1}

Add the numbers

- 36 x^{3}

(- 36 x^{3}) - (6 x^{2} - 4 x - 2) = 0

Remove the parentheses

- 36 x^{3} - (6 x^{2} - 4 x - 2) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 36 x^{3} - 6 x^{2} + 4 x + 2 = 0

Factor the expression

- 2 (18 x^{3} + 3 x^{2} - 2 x - 1) = 0

Divide both sides

18 x^{3} + 3 x^{2} - 2 x - 1 = 0

Solution

x \approx 0.417719

Show Solution