8b^2+7b+30=0

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Solution for 8b^2+7b+30=0 equation:


Simplifying
8b2 + 7b + 30 = 0

Reorder the terms:
30 + 7b + 8b2 = 0

Solving
30 + 7b + 8b2 = 0

Solving for variable 'b'.

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

Divide each side by '8'.
3.75 + 0.875b + b2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + 0.875b + -3.75 + b2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + 0.875b + b2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 0.875b + b2 = 0 + -3.75
0.875b + b2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
0.875b + b2 = -3.75

The b term is 0.875b.  Take half its coefficient (0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
0.875b + 0.19140625 + b2 = -3.75 + 0.19140625

Reorder the terms:
0.19140625 + 0.875b + b2 = -3.75 + 0.19140625

Combine like terms: -3.75 + 0.19140625 = -3.55859375
0.19140625 + 0.875b + b2 = -3.55859375

Factor a perfect square on the left side:
(b + 0.4375)(b + 0.4375) = -3.55859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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