Solve 5x^2-9x^3=x^2

Evaluate

5 x^{2} - 9 x^{3} = x^{2}

Move the expression to the left side

5 x^{2} - 9 x^{3} - x^{2} = 0

Subtract the terms

More Steps

4 x^{2} - 9 x^{3} = 0

Factor the expression

x^{2} (4 - 9 x) = 0

Separate the equation into 2 possible cases

x^{2} = 0 4 - 9 x = 0

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

x = 0 4 - 9 x = 0

Solve the equation

More Steps

x = 0 x = \frac{4}{9}

Solution

x_{1} = 0, x_{2} = \frac{4}{9}

Alternative Form

x_{1} = 0, x_{2} = 0. \dot{4}

Solve the equation