Solve 2x^2-3x-5=0

Evaluate

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

Factor the expression

More Steps

(x + 1) (2 x - 5) = 0

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

2 x - 5 = 0 x + 1 = 0

Solve the equation for x

More Steps

x = \frac{5}{2} x + 1 = 0

Solve the equation for x

More Steps

x = \frac{5}{2} x = - 1

Solution

x_{1} = - 1, x_{2} = \frac{5}{2}

Alternative Form

x_{1} = - 1, x_{2} = 2.5

Solve the quadratic equation