Solve 5x^2 - 4 = -x

Evaluate

5 x^{2} - 4 = - x

Move the expression to the left side

5 x^{2} - 4 + x = 0

Factor the expression

More Steps

(x + 1) (5 x - 4) = 0

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

5 x - 4 = 0 x + 1 = 0

Solve the equation for x

More Steps

x = \frac{4}{5} x + 1 = 0

Solve the equation for x

More Steps

x = \frac{4}{5} x = - 1

Solution

x_{1} = - 1, x_{2} = \frac{4}{5}

Alternative Form

x_{1} = - 1, x_{2} = 0.8

Solve the quadratic equation