Solve 5x^2 = 7x^3

Evaluate

5 x^{2} = 7 x^{3}

Add or subtract both sides

5 x^{2} - 7 x^{3} = 0

Factor the expression

x^{2} (5 - 7 x) = 0

Separate the equation into 2 possible cases

x^{2} = 0 5 - 7 x = 0

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

x = 0 5 - 7 x = 0

Solve the equation

More Steps

x = 0 x = \frac{5}{7}

Solution

x_{1} = 0, x_{2} = \frac{5}{7}

Alternative Form

x_{1} = 0, x_{2} = 0. \dot{7} 1428 \dot{5}

Solve the equation