Solve 3 x =- 2x ^2

Evaluate

3 x = - 2 x^{2}

Swap the sides

- 2 x^{2} = 3 x

Move the expression to the left side

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

Factor the expression

More Steps

- x (2 x + 3) = 0

When the product of factors equals 0,at least one factor is 0

- x = 0 2 x + 3 = 0

Solve the equation for x

x = 0 2 x + 3 = 0

Solve the equation for x

More Steps

x = 0 x = - \frac{3}{2}

Solution

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

Alternative Form

x_{1} = - 1.5, x_{2} = 0

Solve the quadratic equation