6b^2+11=-10b

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Solution for 6b^2+11=-10b equation:


Simplifying
6b2 + 11 = -10b

Reorder the terms:
11 + 6b2 = -10b

Solving
11 + 6b2 = -10b

Solving for variable 'b'.

Reorder the terms:
11 + 10b + 6b2 = -10b + 10b

Combine like terms: -10b + 10b = 0
11 + 10b + 6b2 = 0

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

Divide each side by '6'.
1.833333333 + 1.666666667b + b2 = 0

Move the constant term to the right:

Add '-1.833333333' to each side of the equation.
1.833333333 + 1.666666667b + -1.833333333 + b2 = 0 + -1.833333333

Reorder the terms:
1.833333333 + -1.833333333 + 1.666666667b + b2 = 0 + -1.833333333

Combine like terms: 1.833333333 + -1.833333333 = 0.000000000
0.000000000 + 1.666666667b + b2 = 0 + -1.833333333
1.666666667b + b2 = 0 + -1.833333333

Combine like terms: 0 + -1.833333333 = -1.833333333
1.666666667b + b2 = -1.833333333

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 = -1.833333333 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667b + b2 = -1.833333333 + 0.6944444447

Combine like terms: -1.833333333 + 0.6944444447 = -1.1388888883
0.6944444447 + 1.666666667b + b2 = -1.1388888883

Factor a perfect square on the left side:
(b + 0.8333333335)(b + 0.8333333335) = -1.1388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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