b^2-7b+30=0

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

Simplifying
b2 + -7b + 30 = 0

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

Solving
30 + -7b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + -7b + -30 + b2 = 0 + -30

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

Combine like terms: 30 + -30 = 0
0 + -7b + b2 = 0 + -30
-7b + b2 = 0 + -30

Combine like terms: 0 + -30 = -30
-7b + b2 = -30

The b term is -7b.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7b + 12.25 + b2 = -30 + 12.25

Reorder the terms:
12.25 + -7b + b2 = -30 + 12.25

Combine like terms: -30 + 12.25 = -17.75
12.25 + -7b + b2 = -17.75

Factor a perfect square on the left side:
(b + -3.5)(b + -3.5) = -17.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.