Solve 2x^3-8x^2-6x^3

Question

Simplify the expression

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

Evaluate

2 x^{3} - 8 x^{2} - 6 x^{3}

Solution

More Steps

Evaluate

2 x^{3} - 6 x^{3}

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

(2 - 6) x^{3}

Subtract the numbers

- 4 x^{3}

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

Show Solution

- 4 x^{2} (x + 2)

Evaluate

2 x^{3} - 8 x^{2} - 6 x^{3}

Subtract the terms

More Steps

Evaluate

2 x^{3} - 6 x^{3}

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

(2 - 6) x^{3}

Subtract the numbers

- 4 x^{3}

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

Rewrite the expression

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

Solution

- 4 x^{2} (x + 2)

Show Solution

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

Evaluate

2 x^{3} - 8 x^{2} - 6 x^{3}

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

2 x^{3} - 8 x^{2} - 6 x^{3} = 0

Subtract the terms

More Steps

Simplify

2 x^{3} - 8 x^{2} - 6 x^{3}

Subtract the terms

More Steps

Evaluate

2 x^{3} - 6 x^{3}

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

(2 - 6) x^{3}

Subtract the numbers

- 4 x^{3}

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

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

Factor the expression

- 4 x^{2} (x + 2) = 0

Divide both sides

x^{2} (x + 2) = 0

Separate the equation into 2 possible cases

x^{2} = 0 x + 2 = 0

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

x = 0 x + 2 = 0

Solve the equation

More Steps

Evaluate

x + 2 = 0

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

x = 0 - 2

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

x = - 2

x = 0 x = - 2

Solution

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

Show Solution