Solve \(3x^{3}-8x^5=0\)

Evaluate

3 x^{3} - 8 x^{5} = 0

Factor the expression

x^{3} (3 - 8 x^{2}) = 0

Separate the equation into 2 possible cases

x^{3} = 0 3 - 8 x^{2} = 0

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

x = 0 3 - 8 x^{2} = 0

Solve the equation

More Steps

x = 0 x = \frac{6}{4} x = - \frac{6}{4}

Solution

x_{1} = - \frac{6}{4}, x_{2} = 0, x_{3} = \frac{6}{4}

Alternative Form

x_{1} \approx - 0.612372, x_{2} = 0, x_{3} \approx 0.612372

Solve the equation