Solve 10k^3-15k^2

Evaluate

10 k^{3} - 15 k^{2}

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

10 k^{3} - 15 k^{2} = 0

Factor the expression

5 k^{2} (2 k - 3) = 0

Divide both sides

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

Separate the equation into 2 possible cases

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

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

k = 0 2 k - 3 = 0

Solve the equation

More Steps

k = 0 k = \frac{3}{2}

Solution

k_{1} = 0, k_{2} = \frac{3}{2}

Alternative Form

k_{1} = 0, k_{2} = 1.5

Factor the expression