Solve x^3 - 12x^2 - 2x^24

Question

Simplify the expression

x^{3} - 20 x^{2}

Evaluate

x^{3} - 12 x^{2} - 2 x^{2} \times 4

Multiply the terms

x^{3} - 12 x^{2} - 8 x^{2}

Solution

More Steps

Evaluate

- 12 x^{2} - 8 x^{2}

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

(- 12 - 8) x^{2}

Subtract the numbers

- 20 x^{2}

x^{3} - 20 x^{2}

Show Solution

x^{2} (x - 20)

Evaluate

x^{3} - 12 x^{2} - 2 x^{2} \times 4

Multiply the terms

x^{3} - 12 x^{2} - 8 x^{2}

Subtract the terms

More Steps

Evaluate

- 12 x^{2} - 8 x^{2}

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

(- 12 - 8) x^{2}

Subtract the numbers

- 20 x^{2}

x^{3} - 20 x^{2}

Rewrite the expression

x^{2} \times x - x^{2} \times 20

Solution

x^{2} (x - 20)

Show Solution

x_{1} = 0, x_{2} = 20

Evaluate

x^{3} - 12 x^{2} - 2 x^{2} \times 4

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

x^{3} - 12 x^{2} - 2 x^{2} \times 4 = 0

Multiply the terms

x^{3} - 12 x^{2} - 8 x^{2} = 0

Subtract the terms

More Steps

Simplify

x^{3} - 12 x^{2} - 8 x^{2}

Subtract the terms

More Steps

Evaluate

- 12 x^{2} - 8 x^{2}

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

(- 12 - 8) x^{2}

Subtract the numbers

- 20 x^{2}

x^{3} - 20 x^{2}

x^{3} - 20 x^{2} = 0

Factor the expression

x^{2} (x - 20) = 0

Separate the equation into 2 possible cases

x^{2} = 0 x - 20 = 0

The only way a power can be 0 is when the base equals 0

x = 0 x - 20 = 0

Solve the equation

More Steps

Evaluate

x - 20 = 0

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

x = 0 + 20

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

x = 20

x = 0 x = 20

Solution

x_{1} = 0, x_{2} = 20

Show Solution