-b^2+5b-24=0

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Solution for -b^2+5b-24=0 equation:


Simplifying
-1b2 + 5b + -24 = 0

Reorder the terms:
-24 + 5b + -1b2 = 0

Solving
-24 + 5b + -1b2 = 0

Solving for variable 'b'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
24 + -5b + b2 = 0

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -5b + -24 + b2 = 0 + -24

Reorder the terms:
24 + -24 + -5b + b2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -5b + b2 = 0 + -24
-5b + b2 = 0 + -24

Combine like terms: 0 + -24 = -24
-5b + b2 = -24

The b term is -5b.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5b + 6.25 + b2 = -24 + 6.25

Reorder the terms:
6.25 + -5b + b2 = -24 + 6.25

Combine like terms: -24 + 6.25 = -17.75
6.25 + -5b + b2 = -17.75

Factor a perfect square on the left side:
(b + -2.5)(b + -2.5) = -17.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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