Solve (1/2) x^2 - x^3

Evaluate

(\frac{1}{2}) x^{2} - x^{3}

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

(\frac{1}{2}) x^{2} - x^{3} = 0

Remove the unnecessary parentheses

\frac{1}{2} x^{2} - x^{3} = 0

Factor the expression

x^{2} (\frac{1}{2} - x) = 0

Separate the equation into 2 possible cases

x^{2} = 0 \frac{1}{2} - x = 0

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

x = 0 \frac{1}{2} - x = 0

Solve the equation

More Steps

x = 0 x = \frac{1}{2}

Solution

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

Alternative Form

x_{1} = 0, x_{2} = 0.5

Factor the expression