Solve 12x(x^2)-5(2x-1)

Question

Simplify the expression

12 x^{3} - 10 x + 5

Evaluate

12 x \times x^{2} - 5 (2 x - 1)

Multiply

More Steps

Multiply the terms

12 x \times x^{2}

Multiply the terms with the same base by adding their exponents

12 x^{1 + 2}

Add the numbers

12 x^{3}

12 x^{3} - 5 (2 x - 1)

Solution

More Steps

Evaluate

- 5 (2 x - 1)

Apply the distributive property

- 5 \times 2 x - (- 5 \times 1)

Multiply the numbers

- 10 x - (- 5 \times 1)

Any expression multiplied by 1 remains the same

- 10 x - (- 5)

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

- 10 x + 5

12 x^{3} - 10 x + 5

Show Solution

Find the roots

x \approx - 1.100834

Evaluate

12 x (x^{2}) - 5 (2 x - 1)

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

12 x (x^{2}) - 5 (2 x - 1) = 0

Calculate

12 x \times x^{2} - 5 (2 x - 1) = 0

Multiply

More Steps

Multiply the terms

12 x \times x^{2}

Multiply the terms with the same base by adding their exponents

12 x^{1 + 2}

Add the numbers

12 x^{3}

12 x^{3} - 5 (2 x - 1) = 0

Calculate

More Steps

Evaluate

- 5 (2 x - 1)

Apply the distributive property

- 5 \times 2 x - (- 5 \times 1)

Multiply the numbers

- 10 x - (- 5 \times 1)

Any expression multiplied by 1 remains the same

- 10 x - (- 5)

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

- 10 x + 5

12 x^{3} - 10 x + 5 = 0

Solution

x \approx - 1.100834

Show Solution