Solve 5x^2 14x=x^6

Evaluate

5 x^{2} \times 14 x = x^{6}

Multiply

More Steps

70 x^{3} = x^{6}

Move the expression to the left side

70 x^{3} - x^{6} = 0

Factor the expression

x^{3} (70 - x^{3}) = 0

Separate the equation into 2 possible cases

x^{3} = 0 70 - x^{3} = 0

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

x = 0 70 - x^{3} = 0

Solve the equation

More Steps

x = 0 x = 370

Solution

x_{1} = 0, x_{2} = 370

Alternative Form

x_{1} = 0, x_{2} \approx 4.121285

Solve the equation