Solve (x-5)(4x-1)(-4x-1)

Question

Simplify the expression

- 16 x^{3} + 80 x^{2} + x - 5

Evaluate

(x - 5) (4 x - 1) (- 4 x - 1)

Multiply the terms

More Steps

(4 x^{2} - 21 x + 5) (- 4 x - 1)

Apply the distributive property

4 x^{2} (- 4 x) - 4 x^{2} \times 1 - 21 x (- 4 x) - (- 21 x \times 1) + 5 (- 4 x) - 5 \times 1

Multiply the terms

More Steps

- 16 x^{3} - 4 x^{2} \times 1 - 21 x (- 4 x) - (- 21 x \times 1) + 5 (- 4 x) - 5 \times 1

Any expression multiplied by 1 remains the same

- 16 x^{3} - 4 x^{2} - 21 x (- 4 x) - (- 21 x \times 1) + 5 (- 4 x) - 5 \times 1

Multiply the terms

More Steps

- 16 x^{3} - 4 x^{2} + 84 x^{2} - (- 21 x \times 1) + 5 (- 4 x) - 5 \times 1

Any expression multiplied by 1 remains the same

- 16 x^{3} - 4 x^{2} + 84 x^{2} - (- 21 x) + 5 (- 4 x) - 5 \times 1

Multiply the numbers

More Steps

- 16 x^{3} - 4 x^{2} + 84 x^{2} - (- 21 x) - 20 x - 5 \times 1

Any expression multiplied by 1 remains the same

- 16 x^{3} - 4 x^{2} + 84 x^{2} - (- 21 x) - 20 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

- 16 x^{3} - 4 x^{2} + 84 x^{2} + 21 x - 20 x - 5

Add the terms

More Steps

- 16 x^{3} + 80 x^{2} + 21 x - 20 x - 5

Solution

More Steps

- 16 x^{3} + 80 x^{2} + x - 5

Show Solution

Find the roots

x_{1} = - \frac{1}{4}, x_{2} = \frac{1}{4}, x_{3} = 5

Alternative Form

x_{1} = - 0.25, x_{2} = 0.25, x_{3} = 5

Show Solution