Solve 32a^3 + 12a^2

Evaluate

32 a^{3} + 12 a^{2}

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

32 a^{3} + 12 a^{2} = 0

Factor the expression

4 a^{2} (8 a + 3) = 0

Divide both sides

a^{2} (8 a + 3) = 0

Separate the equation into 2 possible cases

a^{2} = 0 8 a + 3 = 0

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

a = 0 8 a + 3 = 0

Solve the equation

More Steps

a = 0 a = - \frac{3}{8}

Solution

a_{1} = - \frac{3}{8}, a_{2} = 0

Alternative Form

a_{1} = - 0.375, a_{2} = 0

Factor the expression