Solve 2x^3 - 3x^2 - 3x^2

Question

Simplify the expression

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

Evaluate

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

Solution

More Steps

Evaluate

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

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

(- 3 - 3) x^{2}

Subtract the numbers

- 6 x^{2}

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

Show Solution

2 x^{2} (x - 3)

Evaluate

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

Subtract the terms

More Steps

Evaluate

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

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

(- 3 - 3) x^{2}

Subtract the numbers

- 6 x^{2}

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

Rewrite the expression

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

Solution

2 x^{2} (x - 3)

Show Solution

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

Evaluate

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

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

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

Subtract the terms

More Steps

Simplify

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

Subtract the terms

More Steps

Evaluate

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

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

(- 3 - 3) x^{2}

Subtract the numbers

- 6 x^{2}

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

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

Factor the expression

2 x^{2} (x - 3) = 0

Divide both sides

x^{2} (x - 3) = 0

Separate the equation into 2 possible cases

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

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

x = 0 x - 3 = 0

Solve the equation

More Steps

Evaluate

x - 3 = 0

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

x = 0 + 3

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

x = 3

x = 0 x = 3

Solution

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

Show Solution