Solve -x^3 - 29x^2 - 28x

Question

Factor the expression

Factor

- x (x + 1) (x + 28)

Evaluate

- x^{3} - 29 x^{2} - 28 x

Rewrite the expression

- x \times x^{2} - x \times 29 x - x \times 28

Factor out - x from the expression

- x (x^{2} + 29 x + 28)

Solution

More Steps

Evaluate

x^{2} + 29 x + 28

Rewrite the expression

x^{2} + (28 + 1) x + 28

Calculate

x^{2} + 28 x + x + 28

Rewrite the expression

x \times x + x \times 28 + x + 28

Factor out x from the expression

x (x + 28) + x + 28

Factor out x + 28 from the expression

(x + 1) (x + 28)

- x (x + 1) (x + 28)

Show Solution

Find the roots of the algebra expression

x_{1} = - 28, x_{2} = - 1, x_{3} = 0

Evaluate

- x^{3} - 29 x^{2} - 28 x

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

- x^{3} - 29 x^{2} - 28 x = 0

Factor the expression

- x (x + 1) (x + 28) = 0

Divide both sides

x (x + 1) (x + 28) = 0

Separate the equation into 3 possible cases

x = 0 x + 1 = 0 x + 28 = 0

Solve the equation

More Steps

Evaluate

x + 1 = 0

Move the constant to the right-hand side and change its sign

x = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

x = - 1

x = 0 x = - 1 x + 28 = 0

Solve the equation

More Steps

Evaluate

x + 28 = 0

Move the constant to the right-hand side and change its sign

x = 0 - 28

Removing 0 doesn't change the value,so remove it from the expression

x = - 28

x = 0 x = - 1 x = - 28

Solution

x_{1} = - 28, x_{2} = - 1, x_{3} = 0

Show Solution