X*X+8+3X+6=

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Solution for X*X+8+3X+6= equation: 


Simplifying
X * X + 8 + 3X + 6 = 0

Multiply X * X
X2 + 8 + 3X + 6 = 0

Reorder the terms:
8 + 6 + 3X + X2 = 0

Combine like terms: 8 + 6 = 14
14 + 3X + X2 = 0

Solving
14 + 3X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + 3X + -14 + X2 = 0 + -14

Reorder the terms:
14 + -14 + 3X + X2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3X + X2 = 0 + -14
3X + X2 = 0 + -14

Combine like terms: 0 + -14 = -14
3X + X2 = -14

The X term is 3X.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3X + 2.25 + X2 = -14 + 2.25

Reorder the terms:
2.25 + 3X + X2 = -14 + 2.25

Combine like terms: -14 + 2.25 = -11.75
2.25 + 3X + X2 = -11.75

Factor a perfect square on the left side:
(X + 1.5)(X + 1.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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