3b^2+3b+7=0

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Solution for 3b^2+3b+7=0 equation:


Simplifying
3b2 + 3b + 7 = 0

Reorder the terms:
7 + 3b + 3b2 = 0

Solving
7 + 3b + 3b2 = 0

Solving for variable 'b'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
2.333333333 + b + b2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + b + -2.333333333 + b2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + b + b2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + b + b2 = 0 + -2.333333333
b + b2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
b + b2 = -2.333333333

The b term is b.  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.
 + 0.25 + b2 = -2.333333333 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + b2 = -2.333333333 + 0.25

Combine like terms: -2.333333333 + 0.25 = -2.083333333
1.25 + b2 = -2.083333333

Factor a perfect square on the left side:
(b + 0.5)(b + 0.5) = -2.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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