Solve (2a^3)(2a-3)

Evaluate

(2 a^{3}) (2 a - 3)

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

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

Multiply the terms

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

Elimination the left coefficient

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

Separate the equation into 2 possible cases

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

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

a = 0 2 a - 3 = 0

Solve the equation

More Steps

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

Solution

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

Alternative Form

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

Simplify the expression