Solve -6g^2 -6 -6-9g-9 -8

Evaluate

- 6 g^{2} - 6 - 6 - 9 g - 9 - 8

To find the roots of the expression,set the expression equal to 0

- 6 g^{2} - 6 - 6 - 9 g - 9 - 8 = 0

Subtract the numbers

- 6 g^{2} - 12 - 9 g - 9 - 8 = 0

Subtract the numbers

- 6 g^{2} - 21 - 9 g - 8 = 0

Subtract the numbers

- 6 g^{2} - 29 - 9 g = 0

Rewrite in standard form

- 6 g^{2} - 9 g - 29 = 0

Multiply both sides

6 g^{2} + 9 g + 29 = 0

Substitute a= 6,b= 9 and c= 29 into the quadratic formula g = \frac{- b \pm b ^{2} - 4 a c}{2 a}

g = \frac{- 9 \pm 9 ^{2} - 4 \times 6 \times 29}{2 \times 6}

Simplify the expression

g = \frac{- 9 \pm 9 ^{2} - 4 \times 6 \times 29}{12}

Simplify the expression

More Steps

g = \frac{- 9 \pm - 615}{12}

Simplify the radical expression

More Steps

g = \frac{- 9 \pm 615 \times i}{12}

Separate the equation into 2 possible cases

g = \frac{- 9 + 615 \times i}{12} g = \frac{- 9 - 615 \times i}{12}

Simplify the expression

More Steps

g = - \frac{3}{4} + \frac{615}{12} i g = \frac{- 9 - 615 \times i}{12}

Simplify the expression

More Steps

g = - \frac{3}{4} + \frac{615}{12} i g = - \frac{3}{4} - \frac{615}{12} i

Solution

g_{1} = - \frac{3}{4} - \frac{615}{12} i, g_{2} = - \frac{3}{4} + \frac{615}{12} i

Alternative Form

g_{1} \approx - 0.75 - 2.066599 i, g_{2} \approx - 0.75 + 2.066599 i

Simplify the expression