Solve -4x^(4)-24x-36x

Question

- 4 x^{4} - 24 x - 36 x

Simplify the expression

- 4 x^{4} - 60 x

Evaluate

- 4 x^{4} - 24 x - 36 x

Solution

More Steps

Evaluate

- 24 x - 36 x

Collect like terms by calculating the sum or difference of their coefficients

(- 24 - 36) x

Subtract the numbers

- 60 x

- 4 x^{4} - 60 x

Show Solution

- 4 x (x^{3} + 15)

Evaluate

- 4 x^{4} - 24 x - 36 x

Subtract the terms

More Steps

Evaluate

- 24 x - 36 x

Collect like terms by calculating the sum or difference of their coefficients

(- 24 - 36) x

Subtract the numbers

- 60 x

- 4 x^{4} - 60 x

Rewrite the expression

- 4 x \times x^{3} - 4 x \times 15

Solution

- 4 x (x^{3} + 15)

Show Solution

x_{1} = - 315, x_{2} = 0

Alternative Form

x_{1} \approx - 2.466212, x_{2} = 0

Evaluate

- 4 x^{4} - 24 x - 36 x

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

- 4 x^{4} - 24 x - 36 x = 0

Subtract the terms

More Steps

Simplify

- 4 x^{4} - 24 x - 36 x

Subtract the terms

More Steps

Evaluate

- 24 x - 36 x

Collect like terms by calculating the sum or difference of their coefficients

(- 24 - 36) x

Subtract the numbers

- 60 x

- 4 x^{4} - 60 x

- 4 x^{4} - 60 x = 0

Factor the expression

- 4 x (x^{3} + 15) = 0

Divide both sides

x (x^{3} + 15) = 0

Separate the equation into 2 possible cases

x = 0 x^{3} + 15 = 0

Solve the equation

More Steps

Evaluate

x^{3} + 15 = 0

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

x^{3} = 0 - 15

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

x^{3} = - 15

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 - 15

Calculate

x = 3 - 15

An odd root of a negative radicand is always a negative

x = - 315

x = 0 x = - 315

Solution

x_{1} = - 315, x_{2} = 0

Alternative Form

x_{1} \approx - 2.466212, x_{2} = 0

Show Solution