Solve 3x^2 = 4x - 1

Evaluate

3 x^{2} = 4 x - 1

Move the expression to the left side

3 x^{2} - 4 x + 1 = 0

Factor the expression

More Steps

(x - 1) (3 x - 1) = 0

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

x - 1 = 0 3 x - 1 = 0

Solve the equation for x

More Steps

x = 1 3 x - 1 = 0

Solve the equation for x

More Steps

x = 1 x = \frac{1}{3}

Solution

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

Alternative Form

x_{1} = 0. \dot{3}, x_{2} = 1

Solve the quadratic equation