b^2+6b+30=3

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Solution for b^2+6b+30=3 equation:


Simplifying
b2 + 6b + 30 = 3

Reorder the terms:
30 + 6b + b2 = 3

Solving
30 + 6b + b2 = 3

Solving for variable 'b'.

Reorder the terms:
30 + -3 + 6b + b2 = 3 + -3

Combine like terms: 30 + -3 = 27
27 + 6b + b2 = 3 + -3

Combine like terms: 3 + -3 = 0
27 + 6b + b2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-27' to each side of the equation.
27 + 6b + -27 + b2 = 0 + -27

Reorder the terms:
27 + -27 + 6b + b2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 6b + b2 = 0 + -27
6b + b2 = 0 + -27

Combine like terms: 0 + -27 = -27
6b + b2 = -27

The b term is 6b.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6b + 9 + b2 = -27 + 9

Reorder the terms:
9 + 6b + b2 = -27 + 9

Combine like terms: -27 + 9 = -18
9 + 6b + b2 = -18

Factor a perfect square on the left side:
(b + 3)(b + 3) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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