3b^2+8=-5b

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Solution for 3b^2+8=-5b equation: 


Simplifying
3b2 + 8 = -5b

Reorder the terms:
8 + 3b2 = -5b

Solving
8 + 3b2 = -5b

Solving for variable 'b'.

Reorder the terms:
8 + 5b + 3b2 = -5b + 5b

Combine like terms: -5b + 5b = 0
8 + 5b + 3b2 = 0

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

Divide each side by '3'.
2.666666667 + 1.666666667b + b2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 1.666666667b + -2.666666667 + b2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 1.666666667b + b2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 1.666666667b + b2 = 0 + -2.666666667
1.666666667b + b2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
1.666666667b + b2 = -2.666666667

The b term is 1.666666667b.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667b + 0.6944444447 + b2 = -2.666666667 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667b + b2 = -2.666666667 + 0.6944444447

Combine like terms: -2.666666667 + 0.6944444447 = -1.9722222223
0.6944444447 + 1.666666667b + b2 = -1.9722222223

Factor a perfect square on the left side:
(b + 0.8333333335)(b + 0.8333333335) = -1.9722222223

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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