What are the solutions to the equation 9x^2+6x=-15 ?

The solutions to the equation 9x^2+6x=-15 are x=-1/3+i(sqrt(14))/3 ,x=-1/3-i(sqrt(14))/3

Find the zeros of 9x^2+6x=-15

The zeros of 9x^2+6x=-15 are x=-1/3+i(sqrt(14))/3 ,x=-1/3-i(sqrt(14))/3

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9 x^{2} + 6 x = - 15

x = - \frac{1}{3} + i \frac{14}{3}, x = - \frac{1}{3} - i \frac{14}{3}

Solution steps

9 x^{2} + 6 x = - 15

Move

15

to the left side

9 x^{2} + 6 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 9 \cdot 15}{2 \cdot 9}

Simplify

6^{2} - 4 \cdot 9 \cdot 15 : 614 i

x_{1, 2} = \frac{- 6 \pm 6 14 i}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- 6 + 6 14 i}{2 \cdot 9}, x_{2} = \frac{- 6 - 6 14 i}{2 \cdot 9}

x = \frac{- 6 + 6 14 i}{2 \cdot 9} : - \frac{1}{3} + i \frac{14}{3}

x = \frac{- 6 - 6 14 i}{2 \cdot 9} : - \frac{1}{3} - i \frac{14}{3}

The solutions to the quadratic equation are:

x = - \frac{1}{3} + i \frac{14}{3}, x = - \frac{1}{3} - i \frac{14}{3}

3 (z + 11)^{2} - 10 = 110

3 b^{2} - 7 b - 10 = 0

x^{2} - 16 x - 48 = 0

x^{2} + 3 x - 5 = 4 x + 3

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

What are the solutions to the equation 9x^2+6x=-15 ?
The solutions to the equation 9x^2+6x=-15 are x=-1/3+i(sqrt(14))/3 ,x=-1/3-i(sqrt(14))/3
Find the zeros of 9x^2+6x=-15
The zeros of 9x^2+6x=-15 are x=-1/3+i(sqrt(14))/3 ,x=-1/3-i(sqrt(14))/3