Solve 0 = 2x^(2)+6x+2

Evaluate

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

Swap the sides

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

Substitute a= 2,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 2 \times 2}{2 \times 2}

Simplify the expression

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

Simplify the expression

More Steps

x = \frac{- 6 \pm 20}{4}

Simplify the radical expression

More Steps

x = \frac{- 6 \pm 2 5}{4}

Separate the equation into 2 possible cases

x = \frac{- 6 + 2 5}{4} x = \frac{- 6 - 2 5}{4}

Simplify the expression

More Steps

x = \frac{- 3 + 5}{2} x = \frac{- 6 - 2 5}{4}

Simplify the expression

More Steps

x = \frac{- 3 + 5}{2} x = - \frac{3 + 5}{2}

Solution

x_{1} = - \frac{3 + 5}{2}, x_{2} = \frac{- 3 + 5}{2}

Alternative Form

x_{1} \approx - 2.618034, x_{2} \approx - 0.381966

0 = 2x^(2)+6x+2