Solve x^3-2x^2-3x^20/3

Question

Simplify the expression

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

Evaluate

x^{3} - 2 x^{2} - 3 x^{2} \times \frac{0}{3}

Divide the terms

x^{3} - 2 x^{2} - 3 x^{2} \times 0

Any expression multiplied by 0 equals 0

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

Solution

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

Show Solution

x^{2} (x - 2)

Evaluate

x^{3} - 2 x^{2} - 3 x^{2} \times \frac{0}{3}

Divide the terms

x^{3} - 2 x^{2} - 3 x^{2} \times 0

Multiply

More Steps

Multiply the terms

3 x^{2} \times 0

Any expression multiplied by 0 equals 0

0 \times x^{2}

Any expression multiplied by 0 equals 0

0

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

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

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

Rewrite the expression

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

Solution

x^{2} (x - 2)

Show Solution

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

Evaluate

x^{3} - 2 x^{2} - 3 x^{2} \times \frac{0}{3}

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

x^{3} - 2 x^{2} - 3 x^{2} \times \frac{0}{3} = 0

Divide the terms

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

Multiply

More Steps

Multiply the terms

3 x^{2} \times 0

Any expression multiplied by 0 equals 0

0 \times x^{2}

Any expression multiplied by 0 equals 0

0

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

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

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

Factor the expression

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} = 0, x_{2} = 2

Show Solution