0=2+2Q+2Q^2

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Solution for 0=2+2Q+2Q^2 equation: 


Simplifying
0 = 2 + 2Q + 2Q2

Solving
0 = 2 + 2Q + 2Q2

Solving for variable 'Q'.

Combine like terms: 0 + -2 = -2
-2 + -2Q + -2Q2 = 2 + 2Q + 2Q2 + -2 + -2Q + -2Q2

Reorder the terms:
-2 + -2Q + -2Q2 = 2 + -2 + 2Q + -2Q + 2Q2 + -2Q2

Combine like terms: 2 + -2 = 0
-2 + -2Q + -2Q2 = 0 + 2Q + -2Q + 2Q2 + -2Q2
-2 + -2Q + -2Q2 = 2Q + -2Q + 2Q2 + -2Q2

Combine like terms: 2Q + -2Q = 0
-2 + -2Q + -2Q2 = 0 + 2Q2 + -2Q2
-2 + -2Q + -2Q2 = 2Q2 + -2Q2

Combine like terms: 2Q2 + -2Q2 = 0
-2 + -2Q + -2Q2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + Q + Q2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(1 + Q + Q2)' equal to zero and attempt to solve:

Simplifying
1 + Q + Q2 = 0

Solving
1 + Q + Q2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + Q + -1 + Q2 = 0 + -1

Reorder the terms:
1 + -1 + Q + Q2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + Q + Q2 = 0 + -1
Q + Q2 = 0 + -1

Combine like terms: 0 + -1 = -1
Q + Q2 = -1

The Q term is Q.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
Q + 0.25 + Q2 = -1 + 0.25

Reorder the terms:
0.25 + Q + Q2 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + Q + Q2 = -0.75

Factor a perfect square on the left side:
(Q + 0.5)(Q + 0.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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