Solve (2x-3x^2)/4x^3

Evaluate

\frac{2 x - 3 x ^{2}}{4} \times x^{3}

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

\frac{2 x - 3 x ^{2}}{4} \times x^{3} = 0

Multiply the terms

More Steps

\frac{x ^{3} ( 2 x - 3 x ^{2} )}{4} = 0

Simplify

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

Separate the equation into 2 possible cases

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

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

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

Solve the equation

More Steps

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

Find the union

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

Solution

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

Alternative Form

x_{1} = 0, x_{2} = 0. \dot{6}

Simplify the expression