Solve 3x^(2) = 6x -2

Evaluate

3 x^{2} = 6 x - 2

Move the expression to the left side

3 x^{2} - 6 x + 2 = 0

Substitute a= 3,b= - 6 and c= 2 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 3 \times 2}{2 \times 3}

Simplify the expression

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 3 \times 2}{6}

Simplify the expression

More Steps

x = \frac{6 \pm 12}{6}

Simplify the radical expression

More Steps

x = \frac{6 \pm 2 3}{6}

Separate the equation into 2 possible cases

x = \frac{6 + 2 3}{6} x = \frac{6 - 2 3}{6}

Simplify the expression

More Steps

x = \frac{3 + 3}{3} x = \frac{6 - 2 3}{6}

Simplify the expression

More Steps

x = \frac{3 + 3}{3} x = \frac{3 - 3}{3}

Solution

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

Alternative Form

x_{1} \approx 0.42265, x_{2} \approx 1.57735

Solve the quadratic equation