3b^2+10=-8b

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Solution for 3b^2+10=-8b equation: 


Simplifying
3b2 + 10 = -8b

Reorder the terms:
10 + 3b2 = -8b

Solving
10 + 3b2 = -8b

Solving for variable 'b'.

Reorder the terms:
10 + 8b + 3b2 = -8b + 8b

Combine like terms: -8b + 8b = 0
10 + 8b + 3b2 = 0

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

Divide each side by '3'.
3.333333333 + 2.666666667b + b2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + 2.666666667b + -3.333333333 + b2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + 2.666666667b + b2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + 2.666666667b + b2 = 0 + -3.333333333
2.666666667b + b2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
2.666666667b + b2 = -3.333333333

The b term is 2.666666667b.  Take half its coefficient (1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
2.666666667b + 1.777777780 + b2 = -3.333333333 + 1.777777780

Reorder the terms:
1.777777780 + 2.666666667b + b2 = -3.333333333 + 1.777777780

Combine like terms: -3.333333333 + 1.777777780 = -1.555555553
1.777777780 + 2.666666667b + b2 = -1.555555553

Factor a perfect square on the left side:
(b + 1.333333334)(b + 1.333333334) = -1.555555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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