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

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

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

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

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x^{2} + 6 x = - 15

x = - 3 + 6 i, x = - 3 - 6 i

Solution steps

x^{2} + 6 x = - 15

Move

15

to the left side

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

Solve with the quadratic formula

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

Simplify

6^{2} - 4 \cdot 1 \cdot 15 : 26 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = - 3 + 6 i, x = - 3 - 6 i

r^{2} + 2 r - 20 = - 3

x^{2} - 12 x - 8 = 0

12 x^{2} - 72 x = 0

x^{2} + 6 x - 7

x^{2} + 6 x = 59

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