Solve (x - 4) (x - 7) (4x - 3)

Question

(x - 4) (x - 7) (4 x - 3)

Simplify the expression

4 x^{3} - 47 x^{2} + 145 x - 84

Evaluate

(x - 4) (x - 7) (4 x - 3)

Multiply the terms

More Steps

(x^{2} - 11 x + 28) (4 x - 3)

Apply the distributive property

x^{2} \times 4 x - x^{2} \times 3 - 11 x \times 4 x - (- 11 x \times 3) + 28 \times 4 x - 28 \times 3

Multiply the terms

More Steps

4 x^{3} - x^{2} \times 3 - 11 x \times 4 x - (- 11 x \times 3) + 28 \times 4 x - 28 \times 3

Use the commutative property to reorder the terms

4 x^{3} - 3 x^{2} - 11 x \times 4 x - (- 11 x \times 3) + 28 \times 4 x - 28 \times 3

Multiply the terms

More Steps

4 x^{3} - 3 x^{2} - 44 x^{2} - (- 11 x \times 3) + 28 \times 4 x - 28 \times 3

Multiply the numbers

4 x^{3} - 3 x^{2} - 44 x^{2} - (- 33 x) + 28 \times 4 x - 28 \times 3

Multiply the numbers

4 x^{3} - 3 x^{2} - 44 x^{2} - (- 33 x) + 112 x - 28 \times 3

Multiply the numbers

4 x^{3} - 3 x^{2} - 44 x^{2} - (- 33 x) + 112 x - 84

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

4 x^{3} - 3 x^{2} - 44 x^{2} + 33 x + 112 x - 84

Subtract the terms

More Steps

4 x^{3} - 47 x^{2} + 33 x + 112 x - 84

Solution

More Steps

4 x^{3} - 47 x^{2} + 145 x - 84

Show Solution

Find the roots

x_{1} = \frac{3}{4}, x_{2} = 4, x_{3} = 7

Alternative Form

x_{1} = 0.75, x_{2} = 4, x_{3} = 7

Show Solution