What are the solutions to the equation x(x+6)=-18 ?

The solutions to the equation x(x+6)=-18 are x=-3+3i,x=-3-3i

Find the zeros of x(x+6)=-18

The zeros of x(x+6)=-18 are x=-3+3i,x=-3-3i

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x (x + 6) = - 18

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

Solution steps

x (x + 6) = - 18

Expand

x (x + 6) : x^{2} + 6 x

x^{2} + 6 x = - 18

Move

18

to the left side

x^{2} + 6 x + 18 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot 18}{2 \cdot 1}

Simplify

6^{2} - 4 \cdot 1 \cdot 18 : 6 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

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

(\frac{2}{2})^{4}

x^{2} = 20 - x

w^{6} - w^{4}

5 y^{2} - 7 y - 6

What are the solutions to the equation x(x+6)=-18 ?
The solutions to the equation x(x+6)=-18 are x=-3+3i,x=-3-3i
Find the zeros of x(x+6)=-18
The zeros of x(x+6)=-18 are x=-3+3i,x=-3-3i