Solve -3x^(2)- x/2 =0

Evaluate

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

Multiply both sides of the equation by LCD

(- 3 x^{2} - \frac{x}{2}) \times 2 = 0 \times 2

Simplify the equation

More Steps

- 6 x^{2} - x = 0 \times 2

Any expression multiplied by 0 equals 0

- 6 x^{2} - x = 0

Factor the expression

More Steps

- x (6 x + 1) = 0

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

- x = 0 6 x + 1 = 0

Solve the equation for x

x = 0 6 x + 1 = 0

Solve the equation for x

More Steps

x = 0 x = - \frac{1}{6}

Solution

x_{1} = - \frac{1}{6}, x_{2} = 0

Alternative Form

x_{1} = - 0.1 \dot{6}, x_{2} = 0

Solve the equation