Solve x=frac{+6+sqrt{-6^2-4*3*9}}{2*3}

$$x = \frac { + 6 + \sqrt { - 6 ^ { 2 } - 4 \cdot 3 \cdot 9 } } { 2 \cdot 3 }$$

Solve for x (complex solution)

$$x=1+2i$$

Steps for Solving Linear Equation

Calculate 6 to the power of 2 and get 36.

$$x=\frac{6+\sqrt{-36-4\times 3\times 9}}{2\times 3}$$

Multiply 4 and 3 to get 12.

$$x=\frac{6+\sqrt{-36-12\times 9}}{2\times 3}$$

Multiply 12 and 9 to get 108.

$$x=\frac{6+\sqrt{-36-108}}{2\times 3}$$

Subtract 108 from -36 to get -144.

$$x=\frac{6+\sqrt{-144}}{2\times 3}$$

Calculate the square root of -144 and get 12i.

$$x=\frac{6+12i}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$x=\frac{6+12i}{6}$$

Divide 6+12i by 6 to get 1+2i.

$$x=1+2i$$

Assign x (complex solution)

$$x≔1+2i$$

Assign x

$$\text{Indeterminate}$$