Solve 3x^2 - 30x^54 = 0

Evaluate

3 x^{2} - 30 x^{5} \times 4 = 0

Multiply the terms

3 x^{2} - 120 x^{5} = 0

Factor the expression

3 x^{2} (1 - 40 x^{3}) = 0

Divide both sides

x^{2} (1 - 40 x^{3}) = 0

Separate the equation into 2 possible cases

x^{2} = 0 1 - 40 x^{3} = 0

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

x = 0 1 - 40 x^{3} = 0

Solve the equation

More Steps

x = 0 x = \frac{3 25}{10}

Solution

x_{1} = 0, x_{2} = \frac{3 25}{10}

Alternative Form

x_{1} = 0, x_{2} \approx 0.292402

Solve the equation